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Finding the Fourth Proportional to 21,385.60, 31,852.88 and 20,426.16

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Solution

The fourth proportional to 21,385.60, 31,852.88 and 20,426.16 is: 30,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.60 : 31,852.88 = 20,426.16 : x
  2. Step 2: Convert to fraction form
    21,385.60/31,852.88 = 20,426.16/x
  3. Step 3: Cross multiply
    21,385.60x = 31,852.88 × 20,426.16
  4. Step 4: Simplify right side
    21,385.60x = 650,632,023.34
  5. Step 5: Solve for x
    x = 650,632,023.34/21,385.60
  6. Step 6: Final answer
    x = 30,423.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.