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Finding the Fourth Proportional to 15,305.40, 22,938.93 and 8,285.40

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Solution

The fourth proportional to 15,305.40, 22,938.93 and 8,285.40 is: 12,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.40 : 22,938.93 = 8,285.40 : x
  2. Step 2: Convert to fraction form
    15,305.40/22,938.93 = 8,285.40/x
  3. Step 3: Cross multiply
    15,305.40x = 22,938.93 × 8,285.40
  4. Step 4: Simplify right side
    15,305.40x = 190,058,210.62
  5. Step 5: Solve for x
    x = 190,058,210.62/15,305.40
  6. Step 6: Final answer
    x = 12,417.72

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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.