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Finding the Fourth Proportional to 16,643.61, 24,971.90 and 7,885.89

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Solution

The fourth proportional to 16,643.61, 24,971.90 and 7,885.89 is: 11,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.61 : 24,971.90 = 7,885.89 : x
  2. Step 2: Convert to fraction form
    16,643.61/24,971.90 = 7,885.89/x
  3. Step 3: Cross multiply
    16,643.61x = 24,971.90 × 7,885.89
  4. Step 4: Simplify right side
    16,643.61x = 196,925,617.06
  5. Step 5: Solve for x
    x = 196,925,617.06/16,643.61
  6. Step 6: Final answer
    x = 11,831.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.