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Finding the Fourth Proportional to 27,143, 37,459.51 and 15,967.16

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Solution

The fourth proportional to 27,143, 37,459.51 and 15,967.16 is: 22,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143 : 37,459.51 = 15,967.16 : x
  2. Step 2: Convert to fraction form
    27,143/37,459.51 = 15,967.16/x
  3. Step 3: Cross multiply
    27,143x = 37,459.51 × 15,967.16
  4. Step 4: Simplify right side
    27,143x = 598,121,989.69
  5. Step 5: Solve for x
    x = 598,121,989.69/27,143
  6. Step 6: Final answer
    x = 22,035.96

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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.