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Finding the Fourth Proportional to 14,656.30, 20,225.77 and 7,941.94

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Solution

The fourth proportional to 14,656.30, 20,225.77 and 7,941.94 is: 10,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.30 : 20,225.77 = 7,941.94 : x
  2. Step 2: Convert to fraction form
    14,656.30/20,225.77 = 7,941.94/x
  3. Step 3: Cross multiply
    14,656.30x = 20,225.77 × 7,941.94
  4. Step 4: Simplify right side
    14,656.30x = 160,631,851.79
  5. Step 5: Solve for x
    x = 160,631,851.79/14,656.30
  6. Step 6: Final answer
    x = 10,959.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.