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Finding the Fourth Proportional to 15,802.65, 21,807.24 and 8,728.92

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Solution

The fourth proportional to 15,802.65, 21,807.24 and 8,728.92 is: 12,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.65 : 21,807.24 = 8,728.92 : x
  2. Step 2: Convert to fraction form
    15,802.65/21,807.24 = 8,728.92/x
  3. Step 3: Cross multiply
    15,802.65x = 21,807.24 × 8,728.92
  4. Step 4: Simplify right side
    15,802.65x = 190,353,653.38
  5. Step 5: Solve for x
    x = 190,353,653.38/15,802.65
  6. Step 6: Final answer
    x = 12,045.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.