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Finding the Fourth Proportional to 17,830.29, 24,598.05 and 10,752.78

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Solution

The fourth proportional to 17,830.29, 24,598.05 and 10,752.78 is: 14,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.29 : 24,598.05 = 10,752.78 : x
  2. Step 2: Convert to fraction form
    17,830.29/24,598.05 = 10,752.78/x
  3. Step 3: Cross multiply
    17,830.29x = 24,598.05 × 10,752.78
  4. Step 4: Simplify right side
    17,830.29x = 264,497,420.08
  5. Step 5: Solve for x
    x = 264,497,420.08/17,830.29
  6. Step 6: Final answer
    x = 14,834.16

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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.