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Finding the Fourth Proportional to 12,530.72, 17,284.80 and 8,281.82

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Solution

The fourth proportional to 12,530.72, 17,284.80 and 8,281.82 is: 11,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.72 : 17,284.80 = 8,281.82 : x
  2. Step 2: Convert to fraction form
    12,530.72/17,284.80 = 8,281.82/x
  3. Step 3: Cross multiply
    12,530.72x = 17,284.80 × 8,281.82
  4. Step 4: Simplify right side
    12,530.72x = 143,149,602.34
  5. Step 5: Solve for x
    x = 143,149,602.34/12,530.72
  6. Step 6: Final answer
    x = 11,423.89

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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.