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Finding the Fourth Proportional to 14,420.22, 19,871.91 and 9,634.74

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Solution

The fourth proportional to 14,420.22, 19,871.91 and 9,634.74 is: 13,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.22 : 19,871.91 = 9,634.74 : x
  2. Step 2: Convert to fraction form
    14,420.22/19,871.91 = 9,634.74/x
  3. Step 3: Cross multiply
    14,420.22x = 19,871.91 × 9,634.74
  4. Step 4: Simplify right side
    14,420.22x = 191,460,686.15
  5. Step 5: Solve for x
    x = 191,460,686.15/14,420.22
  6. Step 6: Final answer
    x = 13,277.24

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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.