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Finding the Fourth Proportional to 12,854.81, 19,282.64 and 4,421.23

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Solution

The fourth proportional to 12,854.81, 19,282.64 and 4,421.23 is: 6,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.81 : 19,282.64 = 4,421.23 : x
  2. Step 2: Convert to fraction form
    12,854.81/19,282.64 = 4,421.23/x
  3. Step 3: Cross multiply
    12,854.81x = 19,282.64 × 4,421.23
  4. Step 4: Simplify right side
    12,854.81x = 85,253,061.13
  5. Step 5: Solve for x
    x = 85,253,061.13/12,854.81
  6. Step 6: Final answer
    x = 6,631.99

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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.