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Finding the Fourth Proportional to 23,193.16, 32,005.65 and 12,582.40

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Solution

The fourth proportional to 23,193.16, 32,005.65 and 12,582.40 is: 17,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.16 : 32,005.65 = 12,582.40 : x
  2. Step 2: Convert to fraction form
    23,193.16/32,005.65 = 12,582.40/x
  3. Step 3: Cross multiply
    23,193.16x = 32,005.65 × 12,582.40
  4. Step 4: Simplify right side
    23,193.16x = 402,707,890.56
  5. Step 5: Solve for x
    x = 402,707,890.56/23,193.16
  6. Step 6: Final answer
    x = 17,363.22

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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.