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Finding the Fourth Proportional to 12,585.78, 17,368.59 and 6,920.76

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Solution

The fourth proportional to 12,585.78, 17,368.59 and 6,920.76 is: 9,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.78 : 17,368.59 = 6,920.76 : x
  2. Step 2: Convert to fraction form
    12,585.78/17,368.59 = 6,920.76/x
  3. Step 3: Cross multiply
    12,585.78x = 17,368.59 × 6,920.76
  4. Step 4: Simplify right side
    12,585.78x = 120,203,842.93
  5. Step 5: Solve for x
    x = 120,203,842.93/12,585.78
  6. Step 6: Final answer
    x = 9,550.77

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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.