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Finding the Fourth Proportional to 14,107.80, 19,459.92 and 9,078.56

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Solution

The fourth proportional to 14,107.80, 19,459.92 and 9,078.56 is: 12,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.80 : 19,459.92 = 9,078.56 : x
  2. Step 2: Convert to fraction form
    14,107.80/19,459.92 = 9,078.56/x
  3. Step 3: Cross multiply
    14,107.80x = 19,459.92 × 9,078.56
  4. Step 4: Simplify right side
    14,107.80x = 176,668,051.32
  5. Step 5: Solve for x
    x = 176,668,051.32/14,107.80
  6. Step 6: Final answer
    x = 12,522.72

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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.