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Finding the Fourth Proportional to 25,981.12, 35,854.08 and 14,803.12

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Solution

The fourth proportional to 25,981.12, 35,854.08 and 14,803.12 is: 20,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981.12 : 35,854.08 = 14,803.12 : x
  2. Step 2: Convert to fraction form
    25,981.12/35,854.08 = 14,803.12/x
  3. Step 3: Cross multiply
    25,981.12x = 35,854.08 × 14,803.12
  4. Step 4: Simplify right side
    25,981.12x = 530,752,248.73
  5. Step 5: Solve for x
    x = 530,752,248.73/25,981.12
  6. Step 6: Final answer
    x = 20,428.38

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Why These Related Problems?

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