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Finding the Fourth Proportional to 28,312.50, 42,462.09 and 11,656.02

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Solution

The fourth proportional to 28,312.50, 42,462.09 and 11,656.02 is: 17,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,312.50 : 42,462.09 = 11,656.02 : x
  2. Step 2: Convert to fraction form
    28,312.50/42,462.09 = 11,656.02/x
  3. Step 3: Cross multiply
    28,312.50x = 42,462.09 × 11,656.02
  4. Step 4: Simplify right side
    28,312.50x = 494,938,970.28
  5. Step 5: Solve for x
    x = 494,938,970.28/28,312.50
  6. Step 6: Final answer
    x = 17,481.29

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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.