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Finding the Fourth Proportional to 34,426.58, 51,638.79 and 9,802.58

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Solution

The fourth proportional to 34,426.58, 51,638.79 and 9,802.58 is: 14,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,426.58 : 51,638.79 = 9,802.58 : x
  2. Step 2: Convert to fraction form
    34,426.58/51,638.79 = 9,802.58/x
  3. Step 3: Cross multiply
    34,426.58x = 51,638.79 × 9,802.58
  4. Step 4: Simplify right side
    34,426.58x = 506,193,370.08
  5. Step 5: Solve for x
    x = 506,193,370.08/34,426.58
  6. Step 6: Final answer
    x = 14,703.56

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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.