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Finding the Fourth Proportional to 14,901.32, 20,572.83 and 9,869.85

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Solution

The fourth proportional to 14,901.32, 20,572.83 and 9,869.85 is: 13,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.32 : 20,572.83 = 9,869.85 : x
  2. Step 2: Convert to fraction form
    14,901.32/20,572.83 = 9,869.85/x
  3. Step 3: Cross multiply
    14,901.32x = 20,572.83 × 9,869.85
  4. Step 4: Simplify right side
    14,901.32x = 203,050,746.18
  5. Step 5: Solve for x
    x = 203,050,746.18/14,901.32
  6. Step 6: Final answer
    x = 13,626.36

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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.