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Finding the Fourth Proportional to 17,547.04, 24,203.60 and 10,468

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Solution

The fourth proportional to 17,547.04, 24,203.60 and 10,468 is: 14,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.04 : 24,203.60 = 10,468 : x
  2. Step 2: Convert to fraction form
    17,547.04/24,203.60 = 10,468/x
  3. Step 3: Cross multiply
    17,547.04x = 24,203.60 × 10,468
  4. Step 4: Simplify right side
    17,547.04x = 253,363,284.80
  5. Step 5: Solve for x
    x = 253,363,284.80/17,547.04
  6. Step 6: Final answer
    x = 14,439.09

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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.