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Finding the Fourth Proportional to 15,931.02, 21,984 and 8,856.06

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Solution

The fourth proportional to 15,931.02, 21,984 and 8,856.06 is: 12,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.02 : 21,984 = 8,856.06 : x
  2. Step 2: Convert to fraction form
    15,931.02/21,984 = 8,856.06/x
  3. Step 3: Cross multiply
    15,931.02x = 21,984 × 8,856.06
  4. Step 4: Simplify right side
    15,931.02x = 194,691,623.04
  5. Step 5: Solve for x
    x = 194,691,623.04/15,931.02
  6. Step 6: Final answer
    x = 12,220.91

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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.