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Finding the Fourth Proportional to 16,587.44, 24,877.92 and 7,820

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Solution

The fourth proportional to 16,587.44, 24,877.92 and 7,820 is: 11,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.44 : 24,877.92 = 7,820 : x
  2. Step 2: Convert to fraction form
    16,587.44/24,877.92 = 7,820/x
  3. Step 3: Cross multiply
    16,587.44x = 24,877.92 × 7,820
  4. Step 4: Simplify right side
    16,587.44x = 194,545,334.40
  5. Step 5: Solve for x
    x = 194,545,334.40/16,587.44
  6. Step 6: Final answer
    x = 11,728.47

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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.