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Finding the Fourth Proportional to 13,973.52, 20,966.20 and 6,577.81

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Solution

The fourth proportional to 13,973.52, 20,966.20 and 6,577.81 is: 9,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.52 : 20,966.20 = 6,577.81 : x
  2. Step 2: Convert to fraction form
    13,973.52/20,966.20 = 6,577.81/x
  3. Step 3: Cross multiply
    13,973.52x = 20,966.20 × 6,577.81
  4. Step 4: Simplify right side
    13,973.52x = 137,911,680.02
  5. Step 5: Solve for x
    x = 137,911,680.02/13,973.52
  6. Step 6: Final answer
    x = 9,869.50

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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.