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Finding the Fourth Proportional to 24,217.64, 36,301.98 and 9,417.32

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Solution

The fourth proportional to 24,217.64, 36,301.98 and 9,417.32 is: 14,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.64 : 36,301.98 = 9,417.32 : x
  2. Step 2: Convert to fraction form
    24,217.64/36,301.98 = 9,417.32/x
  3. Step 3: Cross multiply
    24,217.64x = 36,301.98 × 9,417.32
  4. Step 4: Simplify right side
    24,217.64x = 341,867,362.29
  5. Step 5: Solve for x
    x = 341,867,362.29/24,217.64
  6. Step 6: Final answer
    x = 14,116.46

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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.