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Finding the Fourth Proportional to 13,885.81, 20,830.35 and 4,877.16

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Solution

The fourth proportional to 13,885.81, 20,830.35 and 4,877.16 is: 7,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.81 : 20,830.35 = 4,877.16 : x
  2. Step 2: Convert to fraction form
    13,885.81/20,830.35 = 4,877.16/x
  3. Step 3: Cross multiply
    13,885.81x = 20,830.35 × 4,877.16
  4. Step 4: Simplify right side
    13,885.81x = 101,592,949.81
  5. Step 5: Solve for x
    x = 101,592,949.81/13,885.81
  6. Step 6: Final answer
    x = 7,316.32

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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.