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Finding the Fourth Proportional to 21,225.40, 31,838.06 and 7,185.52

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Solution

The fourth proportional to 21,225.40, 31,838.06 and 7,185.52 is: 10,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.40 : 31,838.06 = 7,185.52 : x
  2. Step 2: Convert to fraction form
    21,225.40/31,838.06 = 7,185.52/x
  3. Step 3: Cross multiply
    21,225.40x = 31,838.06 × 7,185.52
  4. Step 4: Simplify right side
    21,225.40x = 228,773,016.89
  5. Step 5: Solve for x
    x = 228,773,016.89/21,225.40
  6. Step 6: Final answer
    x = 10,778.27

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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.