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Finding the Fourth Proportional to 25,521, 38,212.90 and 14,411.08

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Solution

The fourth proportional to 25,521, 38,212.90 and 14,411.08 is: 21,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521 : 38,212.90 = 14,411.08 : x
  2. Step 2: Convert to fraction form
    25,521/38,212.90 = 14,411.08/x
  3. Step 3: Cross multiply
    25,521x = 38,212.90 × 14,411.08
  4. Step 4: Simplify right side
    25,521x = 550,689,158.93
  5. Step 5: Solve for x
    x = 550,689,158.93/25,521
  6. Step 6: Final answer
    x = 21,577.88

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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.