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Finding the Fourth Proportional to 23,417.16, 32,315.02 and 12,806.56

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Solution

The fourth proportional to 23,417.16, 32,315.02 and 12,806.56 is: 17,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.16 : 32,315.02 = 12,806.56 : x
  2. Step 2: Convert to fraction form
    23,417.16/32,315.02 = 12,806.56/x
  3. Step 3: Cross multiply
    23,417.16x = 32,315.02 × 12,806.56
  4. Step 4: Simplify right side
    23,417.16x = 413,844,250.91
  5. Step 5: Solve for x
    x = 413,844,250.91/23,417.16
  6. Step 6: Final answer
    x = 17,672.69

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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.