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Finding the Fourth Proportional to 12,308.64, 16,985.28 and 6,719.52

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Solution

The fourth proportional to 12,308.64, 16,985.28 and 6,719.52 is: 9,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.64 : 16,985.28 = 6,719.52 : x
  2. Step 2: Convert to fraction form
    12,308.64/16,985.28 = 6,719.52/x
  3. Step 3: Cross multiply
    12,308.64x = 16,985.28 × 6,719.52
  4. Step 4: Simplify right side
    12,308.64x = 114,132,928.67
  5. Step 5: Solve for x
    x = 114,132,928.67/12,308.64
  6. Step 6: Final answer
    x = 9,272.59

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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.