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Finding the Fourth Proportional to 23,470.90, 32,389.14 and 12,860.17

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Solution

The fourth proportional to 23,470.90, 32,389.14 and 12,860.17 is: 17,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.90 : 32,389.14 = 12,860.17 : x
  2. Step 2: Convert to fraction form
    23,470.90/32,389.14 = 12,860.17/x
  3. Step 3: Cross multiply
    23,470.90x = 32,389.14 × 12,860.17
  4. Step 4: Simplify right side
    23,470.90x = 416,529,846.55
  5. Step 5: Solve for x
    x = 416,529,846.55/23,470.90
  6. Step 6: Final answer
    x = 17,746.65

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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.