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Finding the Fourth Proportional to 22,814.07, 34,225.92 and 8,582.64

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Solution

The fourth proportional to 22,814.07, 34,225.92 and 8,582.64 is: 12,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.07 : 34,225.92 = 8,582.64 : x
  2. Step 2: Convert to fraction form
    22,814.07/34,225.92 = 8,582.64/x
  3. Step 3: Cross multiply
    22,814.07x = 34,225.92 × 8,582.64
  4. Step 4: Simplify right side
    22,814.07x = 293,748,750.03
  5. Step 5: Solve for x
    x = 293,748,750.03/22,814.07
  6. Step 6: Final answer
    x = 12,875.77

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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.