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Finding the Fourth Proportional to 12,358.10, 18,538.42 and 4,565.10

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Solution

The fourth proportional to 12,358.10, 18,538.42 and 4,565.10 is: 6,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.10 : 18,538.42 = 4,565.10 : x
  2. Step 2: Convert to fraction form
    12,358.10/18,538.42 = 4,565.10/x
  3. Step 3: Cross multiply
    12,358.10x = 18,538.42 × 4,565.10
  4. Step 4: Simplify right side
    12,358.10x = 84,629,741.14
  5. Step 5: Solve for x
    x = 84,629,741.14/12,358.10
  6. Step 6: Final answer
    x = 6,848.12

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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.