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Finding the Fourth Proportional to 19,638.61, 29,438.86 and 7,788.50

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Solution

The fourth proportional to 19,638.61, 29,438.86 and 7,788.50 is: 11,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.61 : 29,438.86 = 7,788.50 : x
  2. Step 2: Convert to fraction form
    19,638.61/29,438.86 = 7,788.50/x
  3. Step 3: Cross multiply
    19,638.61x = 29,438.86 × 7,788.50
  4. Step 4: Simplify right side
    19,638.61x = 229,284,561.11
  5. Step 5: Solve for x
    x = 229,284,561.11/19,638.61
  6. Step 6: Final answer
    x = 11,675.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.