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Finding the Fourth Proportional to 14,292.78, 19,724.04 and 8,005.20

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Solution

The fourth proportional to 14,292.78, 19,724.04 and 8,005.20 is: 11,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.78 : 19,724.04 = 8,005.20 : x
  2. Step 2: Convert to fraction form
    14,292.78/19,724.04 = 8,005.20/x
  3. Step 3: Cross multiply
    14,292.78x = 19,724.04 × 8,005.20
  4. Step 4: Simplify right side
    14,292.78x = 157,894,885.01
  5. Step 5: Solve for x
    x = 157,894,885.01/14,292.78
  6. Step 6: Final answer
    x = 11,047.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.