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Finding the Fourth Proportional to 23,491.32, 32,417.88 and 12,881

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Solution

The fourth proportional to 23,491.32, 32,417.88 and 12,881 is: 17,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.32 : 32,417.88 = 12,881 : x
  2. Step 2: Convert to fraction form
    23,491.32/32,417.88 = 12,881/x
  3. Step 3: Cross multiply
    23,491.32x = 32,417.88 × 12,881
  4. Step 4: Simplify right side
    23,491.32x = 417,574,712.28
  5. Step 5: Solve for x
    x = 417,574,712.28/23,491.32
  6. Step 6: Final answer
    x = 17,775.70

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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.