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Finding the Fourth Proportional to 14,902.63, 20,574.66 and 9,871.17

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Solution

The fourth proportional to 14,902.63, 20,574.66 and 9,871.17 is: 13,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.63 : 20,574.66 = 9,871.17 : x
  2. Step 2: Convert to fraction form
    14,902.63/20,574.66 = 9,871.17/x
  3. Step 3: Cross multiply
    14,902.63x = 20,574.66 × 9,871.17
  4. Step 4: Simplify right side
    14,902.63x = 203,095,966.55
  5. Step 5: Solve for x
    x = 203,095,966.55/14,902.63
  6. Step 6: Final answer
    x = 13,628.20

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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.