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Finding the Fourth Proportional to 28,106.36, 42,154.68 and 9,638.36

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Solution

The fourth proportional to 28,106.36, 42,154.68 and 9,638.36 is: 14,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106.36 : 42,154.68 = 9,638.36 : x
  2. Step 2: Convert to fraction form
    28,106.36/42,154.68 = 9,638.36/x
  3. Step 3: Cross multiply
    28,106.36x = 42,154.68 × 9,638.36
  4. Step 4: Simplify right side
    28,106.36x = 406,301,981.52
  5. Step 5: Solve for x
    x = 406,301,981.52/28,106.36
  6. Step 6: Final answer
    x = 14,455.87

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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.