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Finding the Fourth Proportional to 14,059.52, 19,402.12 and 8,471.60

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Solution

The fourth proportional to 14,059.52, 19,402.12 and 8,471.60 is: 11,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.52 : 19,402.12 = 8,471.60 : x
  2. Step 2: Convert to fraction form
    14,059.52/19,402.12 = 8,471.60/x
  3. Step 3: Cross multiply
    14,059.52x = 19,402.12 × 8,471.60
  4. Step 4: Simplify right side
    14,059.52x = 164,366,999.79
  5. Step 5: Solve for x
    x = 164,366,999.79/14,059.52
  6. Step 6: Final answer
    x = 11,690.80

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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.