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Finding the Fourth Proportional to 12,985.32, 19,480.80 and 4,221.12

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Solution

The fourth proportional to 12,985.32, 19,480.80 and 4,221.12 is: 6,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.32 : 19,480.80 = 4,221.12 : x
  2. Step 2: Convert to fraction form
    12,985.32/19,480.80 = 4,221.12/x
  3. Step 3: Cross multiply
    12,985.32x = 19,480.80 × 4,221.12
  4. Step 4: Simplify right side
    12,985.32x = 82,230,794.50
  5. Step 5: Solve for x
    x = 82,230,794.50/12,985.32
  6. Step 6: Final answer
    x = 6,332.60

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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.