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Finding the Fourth Proportional to 16,548.96, 24,823.68 and 4,862.40

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Solution

The fourth proportional to 16,548.96, 24,823.68 and 4,862.40 is: 7,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.96 : 24,823.68 = 4,862.40 : x
  2. Step 2: Convert to fraction form
    16,548.96/24,823.68 = 4,862.40/x
  3. Step 3: Cross multiply
    16,548.96x = 24,823.68 × 4,862.40
  4. Step 4: Simplify right side
    16,548.96x = 120,702,661.63
  5. Step 5: Solve for x
    x = 120,702,661.63/16,548.96
  6. Step 6: Final answer
    x = 7,293.67

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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.