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Finding the Fourth Proportional to 12,655.95, 17,462.23 and 7,347.62

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Solution

The fourth proportional to 12,655.95, 17,462.23 and 7,347.62 is: 10,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.95 : 17,462.23 = 7,347.62 : x
  2. Step 2: Convert to fraction form
    12,655.95/17,462.23 = 7,347.62/x
  3. Step 3: Cross multiply
    12,655.95x = 17,462.23 × 7,347.62
  4. Step 4: Simplify right side
    12,655.95x = 128,305,724.71
  5. Step 5: Solve for x
    x = 128,305,724.71/12,655.95
  6. Step 6: Final answer
    x = 10,137.98

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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.