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Finding the Fourth Proportional to 19,034.34, 28,509.90 and 9,658.20

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Solution

The fourth proportional to 19,034.34, 28,509.90 and 9,658.20 is: 14,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,034.34 : 28,509.90 = 9,658.20 : x
  2. Step 2: Convert to fraction form
    19,034.34/28,509.90 = 9,658.20/x
  3. Step 3: Cross multiply
    19,034.34x = 28,509.90 × 9,658.20
  4. Step 4: Simplify right side
    19,034.34x = 275,354,316.18
  5. Step 5: Solve for x
    x = 275,354,316.18/19,034.34
  6. Step 6: Final answer
    x = 14,466.19

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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.