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Finding the Fourth Proportional to 17,914.32, 24,713.16 and 15,426

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Solution

The fourth proportional to 17,914.32, 24,713.16 and 15,426 is: 21,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.32 : 24,713.16 = 15,426 : x
  2. Step 2: Convert to fraction form
    17,914.32/24,713.16 = 15,426/x
  3. Step 3: Cross multiply
    17,914.32x = 24,713.16 × 15,426
  4. Step 4: Simplify right side
    17,914.32x = 381,225,206.16
  5. Step 5: Solve for x
    x = 381,225,206.16/17,914.32
  6. Step 6: Final answer
    x = 21,280.47

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