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Finding the Fourth Proportional to 21,514.90, 32,285.04 and 9,037.12

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Solution

The fourth proportional to 21,514.90, 32,285.04 and 9,037.12 is: 13,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.90 : 32,285.04 = 9,037.12 : x
  2. Step 2: Convert to fraction form
    21,514.90/32,285.04 = 9,037.12/x
  3. Step 3: Cross multiply
    21,514.90x = 32,285.04 × 9,037.12
  4. Step 4: Simplify right side
    21,514.90x = 291,763,780.68
  5. Step 5: Solve for x
    x = 291,763,780.68/21,514.90
  6. Step 6: Final answer
    x = 13,561.01

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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.