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Finding the Fourth Proportional to 19,534.17, 29,298.04 and 5,495.16

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Solution

The fourth proportional to 19,534.17, 29,298.04 and 5,495.16 is: 8,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.17 : 29,298.04 = 5,495.16 : x
  2. Step 2: Convert to fraction form
    19,534.17/29,298.04 = 5,495.16/x
  3. Step 3: Cross multiply
    19,534.17x = 29,298.04 × 5,495.16
  4. Step 4: Simplify right side
    19,534.17x = 160,997,417.49
  5. Step 5: Solve for x
    x = 160,997,417.49/19,534.17
  6. Step 6: Final answer
    x = 8,241.84

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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.