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Finding the Fourth Proportional to 10,302.90, 15,437.85 and 10,029.54

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Solution

The fourth proportional to 10,302.90, 15,437.85 and 10,029.54 is: 15,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.90 : 15,437.85 = 10,029.54 : x
  2. Step 2: Convert to fraction form
    10,302.90/15,437.85 = 10,029.54/x
  3. Step 3: Cross multiply
    10,302.90x = 15,437.85 × 10,029.54
  4. Step 4: Simplify right side
    10,302.90x = 154,834,534.09
  5. Step 5: Solve for x
    x = 154,834,534.09/10,302.90
  6. Step 6: Final answer
    x = 15,028.25

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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.