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Finding the Fourth Proportional to 17,442.64, 24,070.67 and 9,484.70

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Solution

The fourth proportional to 17,442.64, 24,070.67 and 9,484.70 is: 13,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.64 : 24,070.67 = 9,484.70 : x
  2. Step 2: Convert to fraction form
    17,442.64/24,070.67 = 9,484.70/x
  3. Step 3: Cross multiply
    17,442.64x = 24,070.67 × 9,484.70
  4. Step 4: Simplify right side
    17,442.64x = 228,302,951.54
  5. Step 5: Solve for x
    x = 228,302,951.54/17,442.64
  6. Step 6: Final answer
    x = 13,088.78

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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.