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Finding the Fourth Proportional to 14,456.56, 19,948.98 and 9,430.42

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Solution

The fourth proportional to 14,456.56, 19,948.98 and 9,430.42 is: 13,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.56 : 19,948.98 = 9,430.42 : x
  2. Step 2: Convert to fraction form
    14,456.56/19,948.98 = 9,430.42/x
  3. Step 3: Cross multiply
    14,456.56x = 19,948.98 × 9,430.42
  4. Step 4: Simplify right side
    14,456.56x = 188,127,259.97
  5. Step 5: Solve for x
    x = 188,127,259.97/14,456.56
  6. Step 6: Final answer
    x = 13,013.28

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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.