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Finding the Fourth Proportional to 24,678.72, 34,055.28 and 13,500

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Solution

The fourth proportional to 24,678.72, 34,055.28 and 13,500 is: 18,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.72 : 34,055.28 = 13,500 : x
  2. Step 2: Convert to fraction form
    24,678.72/34,055.28 = 13,500/x
  3. Step 3: Cross multiply
    24,678.72x = 34,055.28 × 13,500
  4. Step 4: Simplify right side
    24,678.72x = 459,746,280
  5. Step 5: Solve for x
    x = 459,746,280/24,678.72
  6. Step 6: Final answer
    x = 18,629.26

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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.