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Finding the Fourth Proportional to 23,492, 32,418.96 and 13,561.76

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Solution

The fourth proportional to 23,492, 32,418.96 and 13,561.76 is: 18,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492 : 32,418.96 = 13,561.76 : x
  2. Step 2: Convert to fraction form
    23,492/32,418.96 = 13,561.76/x
  3. Step 3: Cross multiply
    23,492x = 32,418.96 × 13,561.76
  4. Step 4: Simplify right side
    23,492x = 439,658,154.97
  5. Step 5: Solve for x
    x = 439,658,154.97/23,492
  6. Step 6: Final answer
    x = 18,715.23

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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.