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Finding the Fourth Proportional to 12,854.48, 19,281.72 and 6,710.48

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Solution

The fourth proportional to 12,854.48, 19,281.72 and 6,710.48 is: 10,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.48 : 19,281.72 = 6,710.48 : x
  2. Step 2: Convert to fraction form
    12,854.48/19,281.72 = 6,710.48/x
  3. Step 3: Cross multiply
    12,854.48x = 19,281.72 × 6,710.48
  4. Step 4: Simplify right side
    12,854.48x = 129,389,596.43
  5. Step 5: Solve for x
    x = 129,389,596.43/12,854.48
  6. Step 6: Final answer
    x = 10,065.72

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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.