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Finding the Fourth Proportional to 14,711.76, 22,065.48 and 4,851.36

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Solution

The fourth proportional to 14,711.76, 22,065.48 and 4,851.36 is: 7,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.76 : 22,065.48 = 4,851.36 : x
  2. Step 2: Convert to fraction form
    14,711.76/22,065.48 = 4,851.36/x
  3. Step 3: Cross multiply
    14,711.76x = 22,065.48 × 4,851.36
  4. Step 4: Simplify right side
    14,711.76x = 107,047,587.05
  5. Step 5: Solve for x
    x = 107,047,587.05/14,711.76
  6. Step 6: Final answer
    x = 7,276.33

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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.