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Finding the Fourth Proportional to 17,577.40, 26,366.10 and 12,681.40

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Solution

The fourth proportional to 17,577.40, 26,366.10 and 12,681.40 is: 19,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.40 : 26,366.10 = 12,681.40 : x
  2. Step 2: Convert to fraction form
    17,577.40/26,366.10 = 12,681.40/x
  3. Step 3: Cross multiply
    17,577.40x = 26,366.10 × 12,681.40
  4. Step 4: Simplify right side
    17,577.40x = 334,359,060.54
  5. Step 5: Solve for x
    x = 334,359,060.54/17,577.40
  6. Step 6: Final answer
    x = 19,022.10

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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.