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Finding the Fourth Proportional to 14,001.48, 19,322.48 and 8,034.24

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Solution

The fourth proportional to 14,001.48, 19,322.48 and 8,034.24 is: 11,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.48 : 19,322.48 = 8,034.24 : x
  2. Step 2: Convert to fraction form
    14,001.48/19,322.48 = 8,034.24/x
  3. Step 3: Cross multiply
    14,001.48x = 19,322.48 × 8,034.24
  4. Step 4: Simplify right side
    14,001.48x = 155,241,441.72
  5. Step 5: Solve for x
    x = 155,241,441.72/14,001.48
  6. Step 6: Final answer
    x = 11,087.50

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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.