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Finding the Fourth Proportional to 15,537.76, 21,442.25 and 8,823.53

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Solution

The fourth proportional to 15,537.76, 21,442.25 and 8,823.53 is: 12,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.76 : 21,442.25 = 8,823.53 : x
  2. Step 2: Convert to fraction form
    15,537.76/21,442.25 = 8,823.53/x
  3. Step 3: Cross multiply
    15,537.76x = 21,442.25 × 8,823.53
  4. Step 4: Simplify right side
    15,537.76x = 189,196,184.81
  5. Step 5: Solve for x
    x = 189,196,184.81/15,537.76
  6. Step 6: Final answer
    x = 12,176.54

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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.