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Finding the Fourth Proportional to 29,188.34, 43,800.22 and 11,656.70

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Solution

The fourth proportional to 29,188.34, 43,800.22 and 11,656.70 is: 17,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,188.34 : 43,800.22 = 11,656.70 : x
  2. Step 2: Convert to fraction form
    29,188.34/43,800.22 = 11,656.70/x
  3. Step 3: Cross multiply
    29,188.34x = 43,800.22 × 11,656.70
  4. Step 4: Simplify right side
    29,188.34x = 510,566,024.47
  5. Step 5: Solve for x
    x = 510,566,024.47/29,188.34
  6. Step 6: Final answer
    x = 17,492.12

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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.