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Finding the Fourth Proportional to 17,442.66, 24,071.70 and 9,889.14

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Solution

The fourth proportional to 17,442.66, 24,071.70 and 9,889.14 is: 13,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.66 : 24,071.70 = 9,889.14 : x
  2. Step 2: Convert to fraction form
    17,442.66/24,071.70 = 9,889.14/x
  3. Step 3: Cross multiply
    17,442.66x = 24,071.70 × 9,889.14
  4. Step 4: Simplify right side
    17,442.66x = 238,048,411.34
  5. Step 5: Solve for x
    x = 238,048,411.34/17,442.66
  6. Step 6: Final answer
    x = 13,647.48

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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.