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Finding the Fourth Proportional to 15,419.25, 23,132.53 and 5,031

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Solution

The fourth proportional to 15,419.25, 23,132.53 and 5,031 is: 7,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419.25 : 23,132.53 = 5,031 : x
  2. Step 2: Convert to fraction form
    15,419.25/23,132.53 = 5,031/x
  3. Step 3: Cross multiply
    15,419.25x = 23,132.53 × 5,031
  4. Step 4: Simplify right side
    15,419.25x = 116,379,764.72
  5. Step 5: Solve for x
    x = 116,379,764.72/15,419.25
  6. Step 6: Final answer
    x = 7,547.69

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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.