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Finding the Fourth Proportional to 24,307.40, 36,446.51 and 9,498.68

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Solution

The fourth proportional to 24,307.40, 36,446.51 and 9,498.68 is: 14,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.40 : 36,446.51 = 9,498.68 : x
  2. Step 2: Convert to fraction form
    24,307.40/36,446.51 = 9,498.68/x
  3. Step 3: Cross multiply
    24,307.40x = 36,446.51 × 9,498.68
  4. Step 4: Simplify right side
    24,307.40x = 346,193,577.12
  5. Step 5: Solve for x
    x = 346,193,577.12/24,307.40
  6. Step 6: Final answer
    x = 14,242.32

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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.