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Finding the Fourth Proportional to 12,594.81, 17,373.59 and 7,557.42

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Solution

The fourth proportional to 12,594.81, 17,373.59 and 7,557.42 is: 10,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.81 : 17,373.59 = 7,557.42 : x
  2. Step 2: Convert to fraction form
    12,594.81/17,373.59 = 7,557.42/x
  3. Step 3: Cross multiply
    12,594.81x = 17,373.59 × 7,557.42
  4. Step 4: Simplify right side
    12,594.81x = 131,299,478.75
  5. Step 5: Solve for x
    x = 131,299,478.75/12,594.81
  6. Step 6: Final answer
    x = 10,424.89

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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.