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Finding the Fourth Proportional to 23,356.69, 32,233.01 and 12,746.90

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Solution

The fourth proportional to 23,356.69, 32,233.01 and 12,746.90 is: 17,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.69 : 32,233.01 = 12,746.90 : x
  2. Step 2: Convert to fraction form
    23,356.69/32,233.01 = 12,746.90/x
  3. Step 3: Cross multiply
    23,356.69x = 32,233.01 × 12,746.90
  4. Step 4: Simplify right side
    23,356.69x = 410,870,955.17
  5. Step 5: Solve for x
    x = 410,870,955.17/23,356.69
  6. Step 6: Final answer
    x = 17,591.15

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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.