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Finding the Fourth Proportional to 17,655.84, 24,342.93 and 12,931.92

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Solution

The fourth proportional to 17,655.84, 24,342.93 and 12,931.92 is: 17,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.84 : 24,342.93 = 12,931.92 : x
  2. Step 2: Convert to fraction form
    17,655.84/24,342.93 = 12,931.92/x
  3. Step 3: Cross multiply
    17,655.84x = 24,342.93 × 12,931.92
  4. Step 4: Simplify right side
    17,655.84x = 314,800,823.33
  5. Step 5: Solve for x
    x = 314,800,823.33/17,655.84
  6. Step 6: Final answer
    x = 17,829.84

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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.