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Finding the Fourth Proportional to 14,897.52, 22,381.92 and 14,013

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Solution

The fourth proportional to 14,897.52, 22,381.92 and 14,013 is: 21,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.52 : 22,381.92 = 14,013 : x
  2. Step 2: Convert to fraction form
    14,897.52/22,381.92 = 14,013/x
  3. Step 3: Cross multiply
    14,897.52x = 22,381.92 × 14,013
  4. Step 4: Simplify right side
    14,897.52x = 313,637,844.96
  5. Step 5: Solve for x
    x = 313,637,844.96/14,897.52
  6. Step 6: Final answer
    x = 21,053.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.