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Finding the Fourth Proportional to 21,507.50, 32,256.70 and 9,024.28

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Solution

The fourth proportional to 21,507.50, 32,256.70 and 9,024.28 is: 13,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.50 : 32,256.70 = 9,024.28 : x
  2. Step 2: Convert to fraction form
    21,507.50/32,256.70 = 9,024.28/x
  3. Step 3: Cross multiply
    21,507.50x = 32,256.70 × 9,024.28
  4. Step 4: Simplify right side
    21,507.50x = 291,093,492.68
  5. Step 5: Solve for x
    x = 291,093,492.68/21,507.50
  6. Step 6: Final answer
    x = 13,534.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.