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Finding the Fourth Proportional to 15,296.47, 22,946.98 and 4,767.48

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Solution

The fourth proportional to 15,296.47, 22,946.98 and 4,767.48 is: 7,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.47 : 22,946.98 = 4,767.48 : x
  2. Step 2: Convert to fraction form
    15,296.47/22,946.98 = 4,767.48/x
  3. Step 3: Cross multiply
    15,296.47x = 22,946.98 × 4,767.48
  4. Step 4: Simplify right side
    15,296.47x = 109,399,268.21
  5. Step 5: Solve for x
    x = 109,399,268.21/15,296.47
  6. Step 6: Final answer
    x = 7,151.93

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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.