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Finding the Fourth Proportional to 21,008.42, 31,509.39 and 9,319.58

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Solution

The fourth proportional to 21,008.42, 31,509.39 and 9,319.58 is: 13,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.42 : 31,509.39 = 9,319.58 : x
  2. Step 2: Convert to fraction form
    21,008.42/31,509.39 = 9,319.58/x
  3. Step 3: Cross multiply
    21,008.42x = 31,509.39 × 9,319.58
  4. Step 4: Simplify right side
    21,008.42x = 293,654,280.86
  5. Step 5: Solve for x
    x = 293,654,280.86/21,008.42
  6. Step 6: Final answer
    x = 13,977.93

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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.