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Finding the Fourth Proportional to 13,271.01, 19,913.85 and 5,478

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Solution

The fourth proportional to 13,271.01, 19,913.85 and 5,478 is: 8,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.01 : 19,913.85 = 5,478 : x
  2. Step 2: Convert to fraction form
    13,271.01/19,913.85 = 5,478/x
  3. Step 3: Cross multiply
    13,271.01x = 19,913.85 × 5,478
  4. Step 4: Simplify right side
    13,271.01x = 109,088,070.30
  5. Step 5: Solve for x
    x = 109,088,070.30/13,271.01
  6. Step 6: Final answer
    x = 8,220.03

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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.