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Finding the Fourth Proportional to 12,335.34, 18,503.07 and 9,858.57

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Solution

The fourth proportional to 12,335.34, 18,503.07 and 9,858.57 is: 14,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.34 : 18,503.07 = 9,858.57 : x
  2. Step 2: Convert to fraction form
    12,335.34/18,503.07 = 9,858.57/x
  3. Step 3: Cross multiply
    12,335.34x = 18,503.07 × 9,858.57
  4. Step 4: Simplify right side
    12,335.34x = 182,413,810.81
  5. Step 5: Solve for x
    x = 182,413,810.81/12,335.34
  6. Step 6: Final answer
    x = 14,787.90

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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.