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Finding the Fourth Proportional to 14,265.86, 21,391.16 and 4,774

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Solution

The fourth proportional to 14,265.86, 21,391.16 and 4,774 is: 7,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.86 : 21,391.16 = 4,774 : x
  2. Step 2: Convert to fraction form
    14,265.86/21,391.16 = 4,774/x
  3. Step 3: Cross multiply
    14,265.86x = 21,391.16 × 4,774
  4. Step 4: Simplify right side
    14,265.86x = 102,121,397.84
  5. Step 5: Solve for x
    x = 102,121,397.84/14,265.86
  6. Step 6: Final answer
    x = 7,158.45

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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.