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Finding the Fourth Proportional to 19,582.66, 29,373.75 and 6,434.86

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Solution

The fourth proportional to 19,582.66, 29,373.75 and 6,434.86 is: 9,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582.66 : 29,373.75 = 6,434.86 : x
  2. Step 2: Convert to fraction form
    19,582.66/29,373.75 = 6,434.86/x
  3. Step 3: Cross multiply
    19,582.66x = 29,373.75 × 6,434.86
  4. Step 4: Simplify right side
    19,582.66x = 189,015,968.93
  5. Step 5: Solve for x
    x = 189,015,968.93/19,582.66
  6. Step 6: Final answer
    x = 9,652.21

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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.