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Finding the Fourth Proportional to 12,915, 17,823.78 and 7,327.08

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Solution

The fourth proportional to 12,915, 17,823.78 and 7,327.08 is: 10,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915 : 17,823.78 = 7,327.08 : x
  2. Step 2: Convert to fraction form
    12,915/17,823.78 = 7,327.08/x
  3. Step 3: Cross multiply
    12,915x = 17,823.78 × 7,327.08
  4. Step 4: Simplify right side
    12,915x = 130,596,261.96
  5. Step 5: Solve for x
    x = 130,596,261.96/12,915
  6. Step 6: Final answer
    x = 10,111.98

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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.