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Finding the Fourth Proportional to 12,585.63, 17,367.81 and 6,920.39

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Solution

The fourth proportional to 12,585.63, 17,367.81 and 6,920.39 is: 9,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.63 : 17,367.81 = 6,920.39 : x
  2. Step 2: Convert to fraction form
    12,585.63/17,367.81 = 6,920.39/x
  3. Step 3: Cross multiply
    12,585.63x = 17,367.81 × 6,920.39
  4. Step 4: Simplify right side
    12,585.63x = 120,191,931.81
  5. Step 5: Solve for x
    x = 120,191,931.81/12,585.63
  6. Step 6: Final answer
    x = 9,549.93

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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.