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Finding the Fourth Proportional to 27,545.76, 38,013.17 and 14,970.51

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Solution

The fourth proportional to 27,545.76, 38,013.17 and 14,970.51 is: 20,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,545.76 : 38,013.17 = 14,970.51 : x
  2. Step 2: Convert to fraction form
    27,545.76/38,013.17 = 14,970.51/x
  3. Step 3: Cross multiply
    27,545.76x = 38,013.17 × 14,970.51
  4. Step 4: Simplify right side
    27,545.76x = 569,076,466.76
  5. Step 5: Solve for x
    x = 569,076,466.76/27,545.76
  6. Step 6: Final answer
    x = 20,659.31

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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.