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Finding the Fourth Proportional to 34,465.25, 51,697.68 and 13,419.93

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Solution

The fourth proportional to 34,465.25, 51,697.68 and 13,419.93 is: 20,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465.25 : 51,697.68 = 13,419.93 : x
  2. Step 2: Convert to fraction form
    34,465.25/51,697.68 = 13,419.93/x
  3. Step 3: Cross multiply
    34,465.25x = 51,697.68 × 13,419.93
  4. Step 4: Simplify right side
    34,465.25x = 693,779,246.76
  5. Step 5: Solve for x
    x = 693,779,246.76/34,465.25
  6. Step 6: Final answer
    x = 20,129.82

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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.