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Finding the Fourth Proportional to 12,421.13, 17,141.10 and 6,970.20

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Solution

The fourth proportional to 12,421.13, 17,141.10 and 6,970.20 is: 9,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.13 : 17,141.10 = 6,970.20 : x
  2. Step 2: Convert to fraction form
    12,421.13/17,141.10 = 6,970.20/x
  3. Step 3: Cross multiply
    12,421.13x = 17,141.10 × 6,970.20
  4. Step 4: Simplify right side
    12,421.13x = 119,476,895.22
  5. Step 5: Solve for x
    x = 119,476,895.22/12,421.13
  6. Step 6: Final answer
    x = 9,618.85

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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.