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Finding the Fourth Proportional to 14,265.64, 19,686.57 and 7,978

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Solution

The fourth proportional to 14,265.64, 19,686.57 and 7,978 is: 11,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.64 : 19,686.57 = 7,978 : x
  2. Step 2: Convert to fraction form
    14,265.64/19,686.57 = 7,978/x
  3. Step 3: Cross multiply
    14,265.64x = 19,686.57 × 7,978
  4. Step 4: Simplify right side
    14,265.64x = 157,059,455.46
  5. Step 5: Solve for x
    x = 157,059,455.46/14,265.64
  6. Step 6: Final answer
    x = 11,009.63

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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.