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Finding the Fourth Proportional to 22,503.52, 31,056.78 and 12,433.06

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Solution

The fourth proportional to 22,503.52, 31,056.78 and 12,433.06 is: 17,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503.52 : 31,056.78 = 12,433.06 : x
  2. Step 2: Convert to fraction form
    22,503.52/31,056.78 = 12,433.06/x
  3. Step 3: Cross multiply
    22,503.52x = 31,056.78 × 12,433.06
  4. Step 4: Simplify right side
    22,503.52x = 386,130,809.15
  5. Step 5: Solve for x
    x = 386,130,809.15/22,503.52
  6. Step 6: Final answer
    x = 17,158.68

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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.