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Finding the Fourth Proportional to 12,150.61, 16,770.34 and 7,117.47

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Solution

The fourth proportional to 12,150.61, 16,770.34 and 7,117.47 is: 9,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.61 : 16,770.34 = 7,117.47 : x
  2. Step 2: Convert to fraction form
    12,150.61/16,770.34 = 7,117.47/x
  3. Step 3: Cross multiply
    12,150.61x = 16,770.34 × 7,117.47
  4. Step 4: Simplify right side
    12,150.61x = 119,362,400.74
  5. Step 5: Solve for x
    x = 119,362,400.74/12,150.61
  6. Step 6: Final answer
    x = 9,823.57

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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.