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Finding the Fourth Proportional to 19,710.30, 29,565.45 and 5,859.30

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Solution

The fourth proportional to 19,710.30, 29,565.45 and 5,859.30 is: 8,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.30 : 29,565.45 = 5,859.30 : x
  2. Step 2: Convert to fraction form
    19,710.30/29,565.45 = 5,859.30/x
  3. Step 3: Cross multiply
    19,710.30x = 29,565.45 × 5,859.30
  4. Step 4: Simplify right side
    19,710.30x = 173,232,841.19
  5. Step 5: Solve for x
    x = 173,232,841.19/19,710.30
  6. Step 6: Final answer
    x = 8,788.95

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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.