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Finding the Fourth Proportional to 12,678.83, 17,502.65 and 9,047.67

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Solution

The fourth proportional to 12,678.83, 17,502.65 and 9,047.67 is: 12,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.83 : 17,502.65 = 9,047.67 : x
  2. Step 2: Convert to fraction form
    12,678.83/17,502.65 = 9,047.67/x
  3. Step 3: Cross multiply
    12,678.83x = 17,502.65 × 9,047.67
  4. Step 4: Simplify right side
    12,678.83x = 158,358,156.09
  5. Step 5: Solve for x
    x = 158,358,156.09/12,678.83
  6. Step 6: Final answer
    x = 12,489.97

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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.