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Finding the Fourth Proportional to 16,670.96, 23,005.68 and 9,117.32

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Solution

The fourth proportional to 16,670.96, 23,005.68 and 9,117.32 is: 12,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,670.96 : 23,005.68 = 9,117.32 : x
  2. Step 2: Convert to fraction form
    16,670.96/23,005.68 = 9,117.32/x
  3. Step 3: Cross multiply
    16,670.96x = 23,005.68 × 9,117.32
  4. Step 4: Simplify right side
    16,670.96x = 209,750,146.38
  5. Step 5: Solve for x
    x = 209,750,146.38/16,670.96
  6. Step 6: Final answer
    x = 12,581.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.