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Finding the Fourth Proportional to 22,448.51, 30,978.99 and 13,501.13

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Solution

The fourth proportional to 22,448.51, 30,978.99 and 13,501.13 is: 18,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.51 : 30,978.99 = 13,501.13 : x
  2. Step 2: Convert to fraction form
    22,448.51/30,978.99 = 13,501.13/x
  3. Step 3: Cross multiply
    22,448.51x = 30,978.99 × 13,501.13
  4. Step 4: Simplify right side
    22,448.51x = 418,251,216.36
  5. Step 5: Solve for x
    x = 418,251,216.36/22,448.51
  6. Step 6: Final answer
    x = 18,631.58

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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.