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Finding the Fourth Proportional to 12,594.86, 17,376.69 and 7,287.74

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Solution

The fourth proportional to 12,594.86, 17,376.69 and 7,287.74 is: 10,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.86 : 17,376.69 = 7,287.74 : x
  2. Step 2: Convert to fraction form
    12,594.86/17,376.69 = 7,287.74/x
  3. Step 3: Cross multiply
    12,594.86x = 17,376.69 × 7,287.74
  4. Step 4: Simplify right side
    12,594.86x = 126,636,798.78
  5. Step 5: Solve for x
    x = 126,636,798.78/12,594.86
  6. Step 6: Final answer
    x = 10,054.64

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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.