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Finding the Fourth Proportional to 27,545.36, 38,012.84 and 14,970.12

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Solution

The fourth proportional to 27,545.36, 38,012.84 and 14,970.12 is: 20,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,545.36 : 38,012.84 = 14,970.12 : x
  2. Step 2: Convert to fraction form
    27,545.36/38,012.84 = 14,970.12/x
  3. Step 3: Cross multiply
    27,545.36x = 38,012.84 × 14,970.12
  4. Step 4: Simplify right side
    27,545.36x = 569,056,776.34
  5. Step 5: Solve for x
    x = 569,056,776.34/27,545.36
  6. Step 6: Final answer
    x = 20,658.90

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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.