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Finding the Fourth Proportional to 34,616.18, 51,925.44 and 9,656.84

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Solution

The fourth proportional to 34,616.18, 51,925.44 and 9,656.84 is: 14,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.18 : 51,925.44 = 9,656.84 : x
  2. Step 2: Convert to fraction form
    34,616.18/51,925.44 = 9,656.84/x
  3. Step 3: Cross multiply
    34,616.18x = 51,925.44 × 9,656.84
  4. Step 4: Simplify right side
    34,616.18x = 501,435,666.01
  5. Step 5: Solve for x
    x = 501,435,666.01/34,616.18
  6. Step 6: Final answer
    x = 14,485.59

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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.