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Finding the Fourth Proportional to 14,764.72, 22,152.48 and 6,871

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Solution

The fourth proportional to 14,764.72, 22,152.48 and 6,871 is: 10,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.72 : 22,152.48 = 6,871 : x
  2. Step 2: Convert to fraction form
    14,764.72/22,152.48 = 6,871/x
  3. Step 3: Cross multiply
    14,764.72x = 22,152.48 × 6,871
  4. Step 4: Simplify right side
    14,764.72x = 152,209,690.08
  5. Step 5: Solve for x
    x = 152,209,690.08/14,764.72
  6. Step 6: Final answer
    x = 10,309.01

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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.