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Finding the Fourth Proportional to 14,871.60, 22,305.36 and 10,415.76

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Solution

The fourth proportional to 14,871.60, 22,305.36 and 10,415.76 is: 15,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.60 : 22,305.36 = 10,415.76 : x
  2. Step 2: Convert to fraction form
    14,871.60/22,305.36 = 10,415.76/x
  3. Step 3: Cross multiply
    14,871.60x = 22,305.36 × 10,415.76
  4. Step 4: Simplify right side
    14,871.60x = 232,327,276.47
  5. Step 5: Solve for x
    x = 232,327,276.47/14,871.60
  6. Step 6: Final answer
    x = 15,622.21

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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.