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Finding the Fourth Proportional to 20,985.34, 31,459.28 and 7,838.32

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Solution

The fourth proportional to 20,985.34, 31,459.28 and 7,838.32 is: 11,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.34 : 31,459.28 = 7,838.32 : x
  2. Step 2: Convert to fraction form
    20,985.34/31,459.28 = 7,838.32/x
  3. Step 3: Cross multiply
    20,985.34x = 31,459.28 × 7,838.32
  4. Step 4: Simplify right side
    20,985.34x = 246,587,903.61
  5. Step 5: Solve for x
    x = 246,587,903.61/20,985.34
  6. Step 6: Final answer
    x = 11,750.48

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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.