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Finding the Fourth Proportional to 24,554.36, 36,825.36 and 7,024.28

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Solution

The fourth proportional to 24,554.36, 36,825.36 and 7,024.28 is: 10,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,554.36 : 36,825.36 = 7,024.28 : x
  2. Step 2: Convert to fraction form
    24,554.36/36,825.36 = 7,024.28/x
  3. Step 3: Cross multiply
    24,554.36x = 36,825.36 × 7,024.28
  4. Step 4: Simplify right side
    24,554.36x = 258,671,639.74
  5. Step 5: Solve for x
    x = 258,671,639.74/24,554.36
  6. Step 6: Final answer
    x = 10,534.65

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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.