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Finding the Fourth Proportional to 15,565.50, 23,355.54 and 6,802.92

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Solution

The fourth proportional to 15,565.50, 23,355.54 and 6,802.92 is: 10,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.50 : 23,355.54 = 6,802.92 : x
  2. Step 2: Convert to fraction form
    15,565.50/23,355.54 = 6,802.92/x
  3. Step 3: Cross multiply
    15,565.50x = 23,355.54 × 6,802.92
  4. Step 4: Simplify right side
    15,565.50x = 158,885,870.18
  5. Step 5: Solve for x
    x = 158,885,870.18/15,565.50
  6. Step 6: Final answer
    x = 10,207.57

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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.