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Finding the Fourth Proportional to 12,117.35, 16,678.61 and 8,574.41

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Solution

The fourth proportional to 12,117.35, 16,678.61 and 8,574.41 is: 11,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.35 : 16,678.61 = 8,574.41 : x
  2. Step 2: Convert to fraction form
    12,117.35/16,678.61 = 8,574.41/x
  3. Step 3: Cross multiply
    12,117.35x = 16,678.61 × 8,574.41
  4. Step 4: Simplify right side
    12,117.35x = 143,009,177.53
  5. Step 5: Solve for x
    x = 143,009,177.53/12,117.35
  6. Step 6: Final answer
    x = 11,802.02

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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.