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Finding the Fourth Proportional to 16,565.49, 22,859.67 and 9,492.57

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Solution

The fourth proportional to 16,565.49, 22,859.67 and 9,492.57 is: 13,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.49 : 22,859.67 = 9,492.57 : x
  2. Step 2: Convert to fraction form
    16,565.49/22,859.67 = 9,492.57/x
  3. Step 3: Cross multiply
    16,565.49x = 22,859.67 × 9,492.57
  4. Step 4: Simplify right side
    16,565.49x = 216,997,017.65
  5. Step 5: Solve for x
    x = 216,997,017.65/16,565.49
  6. Step 6: Final answer
    x = 13,099.34

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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.