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Finding the Fourth Proportional to 19,605.42, 29,411.40 and 9,085.98

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Solution

The fourth proportional to 19,605.42, 29,411.40 and 9,085.98 is: 13,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.42 : 29,411.40 = 9,085.98 : x
  2. Step 2: Convert to fraction form
    19,605.42/29,411.40 = 9,085.98/x
  3. Step 3: Cross multiply
    19,605.42x = 29,411.40 × 9,085.98
  4. Step 4: Simplify right side
    19,605.42x = 267,231,392.17
  5. Step 5: Solve for x
    x = 267,231,392.17/19,605.42
  6. Step 6: Final answer
    x = 13,630.49

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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.