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Finding the Fourth Proportional to 23,356.91, 32,232.65 and 12,746.77

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Solution

The fourth proportional to 23,356.91, 32,232.65 and 12,746.77 is: 17,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.91 : 32,232.65 = 12,746.77 : x
  2. Step 2: Convert to fraction form
    23,356.91/32,232.65 = 12,746.77/x
  3. Step 3: Cross multiply
    23,356.91x = 32,232.65 × 12,746.77
  4. Step 4: Simplify right side
    23,356.91x = 410,862,176.04
  5. Step 5: Solve for x
    x = 410,862,176.04/23,356.91
  6. Step 6: Final answer
    x = 17,590.60

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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.