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Finding the Fourth Proportional to 17,985.78, 24,820.47 and 10,028.34

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Solution

The fourth proportional to 17,985.78, 24,820.47 and 10,028.34 is: 13,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.78 : 24,820.47 = 10,028.34 : x
  2. Step 2: Convert to fraction form
    17,985.78/24,820.47 = 10,028.34/x
  3. Step 3: Cross multiply
    17,985.78x = 24,820.47 × 10,028.34
  4. Step 4: Simplify right side
    17,985.78x = 248,908,112.12
  5. Step 5: Solve for x
    x = 248,908,112.12/17,985.78
  6. Step 6: Final answer
    x = 13,839.16

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