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Finding the Fourth Proportional to 42,677.60, 64,021.20 and 13,095.20

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Solution

The fourth proportional to 42,677.60, 64,021.20 and 13,095.20 is: 19,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,677.60 : 64,021.20 = 13,095.20 : x
  2. Step 2: Convert to fraction form
    42,677.60/64,021.20 = 13,095.20/x
  3. Step 3: Cross multiply
    42,677.60x = 64,021.20 × 13,095.20
  4. Step 4: Simplify right side
    42,677.60x = 838,370,418.24
  5. Step 5: Solve for x
    x = 838,370,418.24/42,677.60
  6. Step 6: Final answer
    x = 19,644.27

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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.