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Finding the Fourth Proportional to 14,073.66, 21,112.65 and 4,837.50

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Solution

The fourth proportional to 14,073.66, 21,112.65 and 4,837.50 is: 7,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.66 : 21,112.65 = 4,837.50 : x
  2. Step 2: Convert to fraction form
    14,073.66/21,112.65 = 4,837.50/x
  3. Step 3: Cross multiply
    14,073.66x = 21,112.65 × 4,837.50
  4. Step 4: Simplify right side
    14,073.66x = 102,132,444.38
  5. Step 5: Solve for x
    x = 102,132,444.38/14,073.66
  6. Step 6: Final answer
    x = 7,256.99

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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.