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Finding the Fourth Proportional to 25,697.70, 38,581.52 and 14,460.98

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Solution

The fourth proportional to 25,697.70, 38,581.52 and 14,460.98 is: 21,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.70 : 38,581.52 = 14,460.98 : x
  2. Step 2: Convert to fraction form
    25,697.70/38,581.52 = 14,460.98/x
  3. Step 3: Cross multiply
    25,697.70x = 38,581.52 × 14,460.98
  4. Step 4: Simplify right side
    25,697.70x = 557,926,643.32
  5. Step 5: Solve for x
    x = 557,926,643.32/25,697.70
  6. Step 6: Final answer
    x = 21,711.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.