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Finding the Fourth Proportional to 19,689.40, 29,534.10 and 4,898.56

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Solution

The fourth proportional to 19,689.40, 29,534.10 and 4,898.56 is: 7,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.40 : 29,534.10 = 4,898.56 : x
  2. Step 2: Convert to fraction form
    19,689.40/29,534.10 = 4,898.56/x
  3. Step 3: Cross multiply
    19,689.40x = 29,534.10 × 4,898.56
  4. Step 4: Simplify right side
    19,689.40x = 144,674,560.90
  5. Step 5: Solve for x
    x = 144,674,560.90/19,689.40
  6. Step 6: Final answer
    x = 7,347.84

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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.