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Finding the Fourth Proportional to 25,131.72, 34,681.14 and 13,953

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Solution

The fourth proportional to 25,131.72, 34,681.14 and 13,953 is: 19,254.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,131.72 : 34,681.14 = 13,953 : x
  2. Step 2: Convert to fraction form
    25,131.72/34,681.14 = 13,953/x
  3. Step 3: Cross multiply
    25,131.72x = 34,681.14 × 13,953
  4. Step 4: Simplify right side
    25,131.72x = 483,905,946.42
  5. Step 5: Solve for x
    x = 483,905,946.42/25,131.72
  6. Step 6: Final answer
    x = 19,254.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.