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Finding the Fourth Proportional to 17,442.52, 24,068.64 and 9,889.72

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Solution

The fourth proportional to 17,442.52, 24,068.64 and 9,889.72 is: 13,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.52 : 24,068.64 = 9,889.72 : x
  2. Step 2: Convert to fraction form
    17,442.52/24,068.64 = 9,889.72/x
  3. Step 3: Cross multiply
    17,442.52x = 24,068.64 × 9,889.72
  4. Step 4: Simplify right side
    17,442.52x = 238,032,110.38
  5. Step 5: Solve for x
    x = 238,032,110.38/17,442.52
  6. Step 6: Final answer
    x = 13,646.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.