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Finding the Fourth Proportional to 23,193.40, 32,006.76 and 12,582.81

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Solution

The fourth proportional to 23,193.40, 32,006.76 and 12,582.81 is: 17,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.40 : 32,006.76 = 12,582.81 : x
  2. Step 2: Convert to fraction form
    23,193.40/32,006.76 = 12,582.81/x
  3. Step 3: Cross multiply
    23,193.40x = 32,006.76 × 12,582.81
  4. Step 4: Simplify right side
    23,193.40x = 402,734,899.78
  5. Step 5: Solve for x
    x = 402,734,899.78/23,193.40
  6. Step 6: Final answer
    x = 17,364.20

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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.