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Finding the Fourth Proportional to 23,878.24, 35,810.16 and 10,024.16

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Solution

The fourth proportional to 23,878.24, 35,810.16 and 10,024.16 is: 15,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.24 : 35,810.16 = 10,024.16 : x
  2. Step 2: Convert to fraction form
    23,878.24/35,810.16 = 10,024.16/x
  3. Step 3: Cross multiply
    23,878.24x = 35,810.16 × 10,024.16
  4. Step 4: Simplify right side
    23,878.24x = 358,966,773.47
  5. Step 5: Solve for x
    x = 358,966,773.47/23,878.24
  6. Step 6: Final answer
    x = 15,033.22

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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.