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Finding the Fourth Proportional to 34,438.24, 51,653.04 and 13,641.76

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Solution

The fourth proportional to 34,438.24, 51,653.04 and 13,641.76 is: 20,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438.24 : 51,653.04 = 13,641.76 : x
  2. Step 2: Convert to fraction form
    34,438.24/51,653.04 = 13,641.76/x
  3. Step 3: Cross multiply
    34,438.24x = 51,653.04 × 13,641.76
  4. Step 4: Simplify right side
    34,438.24x = 704,638,374.95
  5. Step 5: Solve for x
    x = 704,638,374.95/34,438.24
  6. Step 6: Final answer
    x = 20,460.93

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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.