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Finding the Fourth Proportional to 19,710, 29,565 and 5,859

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Solution

The fourth proportional to 19,710, 29,565 and 5,859 is: 8,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 29,565 = 5,859 : x
  2. Step 2: Convert to fraction form
    19,710/29,565 = 5,859/x
  3. Step 3: Cross multiply
    19,710x = 29,565 × 5,859
  4. Step 4: Simplify right side
    19,710x = 173,221,335
  5. Step 5: Solve for x
    x = 173,221,335/19,710
  6. Step 6: Final answer
    x = 8,788.50

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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.