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Finding the Fourth Proportional to 22,392, 30,901.14 and 12,320.16

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Solution

The fourth proportional to 22,392, 30,901.14 and 12,320.16 is: 17,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,392 : 30,901.14 = 12,320.16 : x
  2. Step 2: Convert to fraction form
    22,392/30,901.14 = 12,320.16/x
  3. Step 3: Cross multiply
    22,392x = 30,901.14 × 12,320.16
  4. Step 4: Simplify right side
    22,392x = 380,706,988.98
  5. Step 5: Solve for x
    x = 380,706,988.98/22,392
  6. Step 6: Final answer
    x = 17,001.92

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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.