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Finding the Fourth Proportional to 27,632.01, 38,127.96 and 15,530.16

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Solution

The fourth proportional to 27,632.01, 38,127.96 and 15,530.16 is: 21,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.01 : 38,127.96 = 15,530.16 : x
  2. Step 2: Convert to fraction form
    27,632.01/38,127.96 = 15,530.16/x
  3. Step 3: Cross multiply
    27,632.01x = 38,127.96 × 15,530.16
  4. Step 4: Simplify right side
    27,632.01x = 592,133,319.27
  5. Step 5: Solve for x
    x = 592,133,319.27/27,632.01
  6. Step 6: Final answer
    x = 21,429.25

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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.