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Finding the Fourth Proportional to 14,363.04, 19,820.88 and 8,076

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Solution

The fourth proportional to 14,363.04, 19,820.88 and 8,076 is: 11,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363.04 : 19,820.88 = 8,076 : x
  2. Step 2: Convert to fraction form
    14,363.04/19,820.88 = 8,076/x
  3. Step 3: Cross multiply
    14,363.04x = 19,820.88 × 8,076
  4. Step 4: Simplify right side
    14,363.04x = 160,073,426.88
  5. Step 5: Solve for x
    x = 160,073,426.88/14,363.04
  6. Step 6: Final answer
    x = 11,144.82

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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.