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Finding the Fourth Proportional to 29,580.34, 40,822.52 and 16,152.84

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Solution

The fourth proportional to 29,580.34, 40,822.52 and 16,152.84 is: 22,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580.34 : 40,822.52 = 16,152.84 : x
  2. Step 2: Convert to fraction form
    29,580.34/40,822.52 = 16,152.84/x
  3. Step 3: Cross multiply
    29,580.34x = 40,822.52 × 16,152.84
  4. Step 4: Simplify right side
    29,580.34x = 659,399,511.71
  5. Step 5: Solve for x
    x = 659,399,511.71/29,580.34
  6. Step 6: Final answer
    x = 22,291.82

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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.