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Finding the Fourth Proportional to 22,762.29, 31,408.14 and 12,688.50

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Solution

The fourth proportional to 22,762.29, 31,408.14 and 12,688.50 is: 17,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.29 : 31,408.14 = 12,688.50 : x
  2. Step 2: Convert to fraction form
    22,762.29/31,408.14 = 12,688.50/x
  3. Step 3: Cross multiply
    22,762.29x = 31,408.14 × 12,688.50
  4. Step 4: Simplify right side
    22,762.29x = 398,522,184.39
  5. Step 5: Solve for x
    x = 398,522,184.39/22,762.29
  6. Step 6: Final answer
    x = 17,508.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.