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Finding the Fourth Proportional to 12,590.42, 17,374.98 and 6,925.42

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Solution

The fourth proportional to 12,590.42, 17,374.98 and 6,925.42 is: 9,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.42 : 17,374.98 = 6,925.42 : x
  2. Step 2: Convert to fraction form
    12,590.42/17,374.98 = 6,925.42/x
  3. Step 3: Cross multiply
    12,590.42x = 17,374.98 × 6,925.42
  4. Step 4: Simplify right side
    12,590.42x = 120,329,033.99
  5. Step 5: Solve for x
    x = 120,329,033.99/12,590.42
  6. Step 6: Final answer
    x = 9,557.19

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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.