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Finding the Fourth Proportional to 24,706.32, 34,097.94 and 14,098.02

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Solution

The fourth proportional to 24,706.32, 34,097.94 and 14,098.02 is: 19,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.32 : 34,097.94 = 14,098.02 : x
  2. Step 2: Convert to fraction form
    24,706.32/34,097.94 = 14,098.02/x
  3. Step 3: Cross multiply
    24,706.32x = 34,097.94 × 14,098.02
  4. Step 4: Simplify right side
    24,706.32x = 480,713,440.08
  5. Step 5: Solve for x
    x = 480,713,440.08/24,706.32
  6. Step 6: Final answer
    x = 19,457.10

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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.