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Finding the Fourth Proportional to 10,495.65, 15,756.84 and 9,024.29

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Solution

The fourth proportional to 10,495.65, 15,756.84 and 9,024.29 is: 13,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.65 : 15,756.84 = 9,024.29 : x
  2. Step 2: Convert to fraction form
    10,495.65/15,756.84 = 9,024.29/x
  3. Step 3: Cross multiply
    10,495.65x = 15,756.84 × 9,024.29
  4. Step 4: Simplify right side
    10,495.65x = 142,194,214.86
  5. Step 5: Solve for x
    x = 142,194,214.86/10,495.65
  6. Step 6: Final answer
    x = 13,547.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.