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Finding the Fourth Proportional to 10,021.34, 15,034.23 and 3,001.07

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Solution

The fourth proportional to 10,021.34, 15,034.23 and 3,001.07 is: 4,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.34 : 15,034.23 = 3,001.07 : x
  2. Step 2: Convert to fraction form
    10,021.34/15,034.23 = 3,001.07/x
  3. Step 3: Cross multiply
    10,021.34x = 15,034.23 × 3,001.07
  4. Step 4: Simplify right side
    10,021.34x = 45,118,701.45
  5. Step 5: Solve for x
    x = 45,118,701.45/10,021.34
  6. Step 6: Final answer
    x = 4,502.26

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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.