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Finding the Fourth Proportional to 14,312.77, 21,474.32 and 7,642.28

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Solution

The fourth proportional to 14,312.77, 21,474.32 and 7,642.28 is: 11,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.77 : 21,474.32 = 7,642.28 : x
  2. Step 2: Convert to fraction form
    14,312.77/21,474.32 = 7,642.28/x
  3. Step 3: Cross multiply
    14,312.77x = 21,474.32 × 7,642.28
  4. Step 4: Simplify right side
    14,312.77x = 164,112,781.72
  5. Step 5: Solve for x
    x = 164,112,781.72/14,312.77
  6. Step 6: Final answer
    x = 11,466.18

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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.