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Finding the Fourth Proportional to 15,802.24, 21,807 and 8,728.68

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Solution

The fourth proportional to 15,802.24, 21,807 and 8,728.68 is: 12,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.24 : 21,807 = 8,728.68 : x
  2. Step 2: Convert to fraction form
    15,802.24/21,807 = 8,728.68/x
  3. Step 3: Cross multiply
    15,802.24x = 21,807 × 8,728.68
  4. Step 4: Simplify right side
    15,802.24x = 190,346,324.76
  5. Step 5: Solve for x
    x = 190,346,324.76/15,802.24
  6. Step 6: Final answer
    x = 12,045.53

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1.5x scale

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.