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Finding the Fourth Proportional to 23,784.32, 32,822.40 and 14,835.20

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Solution

The fourth proportional to 23,784.32, 32,822.40 and 14,835.20 is: 20,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.32 : 32,822.40 = 14,835.20 : x
  2. Step 2: Convert to fraction form
    23,784.32/32,822.40 = 14,835.20/x
  3. Step 3: Cross multiply
    23,784.32x = 32,822.40 × 14,835.20
  4. Step 4: Simplify right side
    23,784.32x = 486,926,868.48
  5. Step 5: Solve for x
    x = 486,926,868.48/23,784.32
  6. Step 6: Final answer
    x = 20,472.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.