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Finding the Fourth Proportional to 22,599, 31,187.76 and 13,035.32

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Solution

The fourth proportional to 22,599, 31,187.76 and 13,035.32 is: 17,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599 : 31,187.76 = 13,035.32 : x
  2. Step 2: Convert to fraction form
    22,599/31,187.76 = 13,035.32/x
  3. Step 3: Cross multiply
    22,599x = 31,187.76 × 13,035.32
  4. Step 4: Simplify right side
    22,599x = 406,542,431.68
  5. Step 5: Solve for x
    x = 406,542,431.68/22,599
  6. Step 6: Final answer
    x = 17,989.40

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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.