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Finding the Fourth Proportional to 21,710.12, 32,514.54 and 15,852.20

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Solution

The fourth proportional to 21,710.12, 32,514.54 and 15,852.20 is: 23,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.12 : 32,514.54 = 15,852.20 : x
  2. Step 2: Convert to fraction form
    21,710.12/32,514.54 = 15,852.20/x
  3. Step 3: Cross multiply
    21,710.12x = 32,514.54 × 15,852.20
  4. Step 4: Simplify right side
    21,710.12x = 515,426,990.99
  5. Step 5: Solve for x
    x = 515,426,990.99/21,710.12
  6. Step 6: Final answer
    x = 23,741.32

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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.