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Finding the Fourth Proportional to 27,564.44, 38,038.74 and 14,989.20

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Solution

The fourth proportional to 27,564.44, 38,038.74 and 14,989.20 is: 20,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.44 : 38,038.74 = 14,989.20 : x
  2. Step 2: Convert to fraction form
    27,564.44/38,038.74 = 14,989.20/x
  3. Step 3: Cross multiply
    27,564.44x = 38,038.74 × 14,989.20
  4. Step 4: Simplify right side
    27,564.44x = 570,170,281.61
  5. Step 5: Solve for x
    x = 570,170,281.61/27,564.44
  6. Step 6: Final answer
    x = 20,684.99

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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.