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Finding the Fourth Proportional to 23,492.90, 32,419.50 and 12,882.18

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Solution

The fourth proportional to 23,492.90, 32,419.50 and 12,882.18 is: 17,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.90 : 32,419.50 = 12,882.18 : x
  2. Step 2: Convert to fraction form
    23,492.90/32,419.50 = 12,882.18/x
  3. Step 3: Cross multiply
    23,492.90x = 32,419.50 × 12,882.18
  4. Step 4: Simplify right side
    23,492.90x = 417,633,834.51
  5. Step 5: Solve for x
    x = 417,633,834.51/23,492.90
  6. Step 6: Final answer
    x = 17,777.02

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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.