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Finding the Fourth Proportional to 38,543.68, 57,826.40 and 13,590

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Solution

The fourth proportional to 38,543.68, 57,826.40 and 13,590 is: 20,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.68 : 57,826.40 = 13,590 : x
  2. Step 2: Convert to fraction form
    38,543.68/57,826.40 = 13,590/x
  3. Step 3: Cross multiply
    38,543.68x = 57,826.40 × 13,590
  4. Step 4: Simplify right side
    38,543.68x = 785,860,776
  5. Step 5: Solve for x
    x = 785,860,776/38,543.68
  6. Step 6: Final answer
    x = 20,388.84

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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.