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Finding the Fourth Proportional to 12,032.29, 18,051.47 and 9,713.36

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Solution

The fourth proportional to 12,032.29, 18,051.47 and 9,713.36 is: 14,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.29 : 18,051.47 = 9,713.36 : x
  2. Step 2: Convert to fraction form
    12,032.29/18,051.47 = 9,713.36/x
  3. Step 3: Cross multiply
    12,032.29x = 18,051.47 × 9,713.36
  4. Step 4: Simplify right side
    12,032.29x = 175,340,496.05
  5. Step 5: Solve for x
    x = 175,340,496.05/12,032.29
  6. Step 6: Final answer
    x = 14,572.50

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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.