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Finding the Fourth Proportional to 17,702.84, 24,430.80 and 9,744.98

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Solution

The fourth proportional to 17,702.84, 24,430.80 and 9,744.98 is: 13,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.84 : 24,430.80 = 9,744.98 : x
  2. Step 2: Convert to fraction form
    17,702.84/24,430.80 = 9,744.98/x
  3. Step 3: Cross multiply
    17,702.84x = 24,430.80 × 9,744.98
  4. Step 4: Simplify right side
    17,702.84x = 238,077,675.74
  5. Step 5: Solve for x
    x = 238,077,675.74/17,702.84
  6. Step 6: Final answer
    x = 13,448.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.