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Finding the Fourth Proportional to 34,465.68, 51,689.07 and 9,499.86

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Solution

The fourth proportional to 34,465.68, 51,689.07 and 9,499.86 is: 14,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465.68 : 51,689.07 = 9,499.86 : x
  2. Step 2: Convert to fraction form
    34,465.68/51,689.07 = 9,499.86/x
  3. Step 3: Cross multiply
    34,465.68x = 51,689.07 × 9,499.86
  4. Step 4: Simplify right side
    34,465.68x = 491,038,928.53
  5. Step 5: Solve for x
    x = 491,038,928.53/34,465.68
  6. Step 6: Final answer
    x = 14,247.19

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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.