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Finding the Fourth Proportional to 21,228.74, 31,840.59 and 7,188.74

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Solution

The fourth proportional to 21,228.74, 31,840.59 and 7,188.74 is: 10,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.74 : 31,840.59 = 7,188.74 : x
  2. Step 2: Convert to fraction form
    21,228.74/31,840.59 = 7,188.74/x
  3. Step 3: Cross multiply
    21,228.74x = 31,840.59 × 7,188.74
  4. Step 4: Simplify right side
    21,228.74x = 228,893,710.11
  5. Step 5: Solve for x
    x = 228,893,710.11/21,228.74
  6. Step 6: Final answer
    x = 10,782.26

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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.