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Finding the Fourth Proportional to 17,758.40, 26,702.40 and 14,907.20

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Solution

The fourth proportional to 17,758.40, 26,702.40 and 14,907.20 is: 22,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.40 : 26,702.40 = 14,907.20 : x
  2. Step 2: Convert to fraction form
    17,758.40/26,702.40 = 14,907.20/x
  3. Step 3: Cross multiply
    17,758.40x = 26,702.40 × 14,907.20
  4. Step 4: Simplify right side
    17,758.40x = 398,058,017.28
  5. Step 5: Solve for x
    x = 398,058,017.28/17,758.40
  6. Step 6: Final answer
    x = 22,415.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.