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Finding the Fourth Proportional to 16,854.99, 23,267.78 and 9,780.04

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Solution

The fourth proportional to 16,854.99, 23,267.78 and 9,780.04 is: 13,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.99 : 23,267.78 = 9,780.04 : x
  2. Step 2: Convert to fraction form
    16,854.99/23,267.78 = 9,780.04/x
  3. Step 3: Cross multiply
    16,854.99x = 23,267.78 × 9,780.04
  4. Step 4: Simplify right side
    16,854.99x = 227,559,819.11
  5. Step 5: Solve for x
    x = 227,559,819.11/16,854.99
  6. Step 6: Final answer
    x = 13,501.04

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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.