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Finding the Fourth Proportional to 12,530.30, 17,291.80 and 6,865.40

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Solution

The fourth proportional to 12,530.30, 17,291.80 and 6,865.40 is: 9,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.30 : 17,291.80 = 6,865.40 : x
  2. Step 2: Convert to fraction form
    12,530.30/17,291.80 = 6,865.40/x
  3. Step 3: Cross multiply
    12,530.30x = 17,291.80 × 6,865.40
  4. Step 4: Simplify right side
    12,530.30x = 118,715,041.71
  5. Step 5: Solve for x
    x = 118,715,041.71/12,530.30
  6. Step 6: Final answer
    x = 9,474.24

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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.