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Finding the Fourth Proportional to 15,866.24, 23,802.49 and 7,101.23

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Solution

The fourth proportional to 15,866.24, 23,802.49 and 7,101.23 is: 10,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.24 : 23,802.49 = 7,101.23 : x
  2. Step 2: Convert to fraction form
    15,866.24/23,802.49 = 7,101.23/x
  3. Step 3: Cross multiply
    15,866.24x = 23,802.49 × 7,101.23
  4. Step 4: Simplify right side
    15,866.24x = 169,026,956.06
  5. Step 5: Solve for x
    x = 169,026,956.06/15,866.24
  6. Step 6: Final answer
    x = 10,653.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.