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Finding the Fourth Proportional to 16,505.82, 24,751.35 and 5,258.34

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Solution

The fourth proportional to 16,505.82, 24,751.35 and 5,258.34 is: 7,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.82 : 24,751.35 = 5,258.34 : x
  2. Step 2: Convert to fraction form
    16,505.82/24,751.35 = 5,258.34/x
  3. Step 3: Cross multiply
    16,505.82x = 24,751.35 × 5,258.34
  4. Step 4: Simplify right side
    16,505.82x = 130,151,013.76
  5. Step 5: Solve for x
    x = 130,151,013.76/16,505.82
  6. Step 6: Final answer
    x = 7,885.16

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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.