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Finding the Fourth Proportional to 17,848.10, 24,629.02 and 9,890.16

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Solution

The fourth proportional to 17,848.10, 24,629.02 and 9,890.16 is: 13,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,848.10 : 24,629.02 = 9,890.16 : x
  2. Step 2: Convert to fraction form
    17,848.10/24,629.02 = 9,890.16/x
  3. Step 3: Cross multiply
    17,848.10x = 24,629.02 × 9,890.16
  4. Step 4: Simplify right side
    17,848.10x = 243,584,948.44
  5. Step 5: Solve for x
    x = 243,584,948.44/17,848.10
  6. Step 6: Final answer
    x = 13,647.67

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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.