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Finding the Fourth Proportional to 28,281, 42,402.78 and 13,492.20

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Solution

The fourth proportional to 28,281, 42,402.78 and 13,492.20 is: 20,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,281 : 42,402.78 = 13,492.20 : x
  2. Step 2: Convert to fraction form
    28,281/42,402.78 = 13,492.20/x
  3. Step 3: Cross multiply
    28,281x = 42,402.78 × 13,492.20
  4. Step 4: Simplify right side
    28,281x = 572,106,788.32
  5. Step 5: Solve for x
    x = 572,106,788.32/28,281
  6. Step 6: Final answer
    x = 20,229.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.