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Finding the Fourth Proportional to 14,589.74, 21,746.02 and 13,759.46

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Solution

The fourth proportional to 14,589.74, 21,746.02 and 13,759.46 is: 20,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.74 : 21,746.02 = 13,759.46 : x
  2. Step 2: Convert to fraction form
    14,589.74/21,746.02 = 13,759.46/x
  3. Step 3: Cross multiply
    14,589.74x = 21,746.02 × 13,759.46
  4. Step 4: Simplify right side
    14,589.74x = 299,213,492.35
  5. Step 5: Solve for x
    x = 299,213,492.35/14,589.74
  6. Step 6: Final answer
    x = 20,508.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.