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Finding the Fourth Proportional to 21,577.50, 32,374.04 and 7,539.60

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Solution

The fourth proportional to 21,577.50, 32,374.04 and 7,539.60 is: 11,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.50 : 32,374.04 = 7,539.60 : x
  2. Step 2: Convert to fraction form
    21,577.50/32,374.04 = 7,539.60/x
  3. Step 3: Cross multiply
    21,577.50x = 32,374.04 × 7,539.60
  4. Step 4: Simplify right side
    21,577.50x = 244,087,274.29
  5. Step 5: Solve for x
    x = 244,087,274.29/21,577.50
  6. Step 6: Final answer
    x = 11,312.12

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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.