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Finding the Fourth Proportional to 19,695.96, 29,541.78 and 9,833.40

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Solution

The fourth proportional to 19,695.96, 29,541.78 and 9,833.40 is: 14,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,695.96 : 29,541.78 = 9,833.40 : x
  2. Step 2: Convert to fraction form
    19,695.96/29,541.78 = 9,833.40/x
  3. Step 3: Cross multiply
    19,695.96x = 29,541.78 × 9,833.40
  4. Step 4: Simplify right side
    19,695.96x = 290,496,139.45
  5. Step 5: Solve for x
    x = 290,496,139.45/19,695.96
  6. Step 6: Final answer
    x = 14,749.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.