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Finding the Fourth Proportional to 14,257.71, 19,655.06 and 9,774.36

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Solution

The fourth proportional to 14,257.71, 19,655.06 and 9,774.36 is: 13,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.71 : 19,655.06 = 9,774.36 : x
  2. Step 2: Convert to fraction form
    14,257.71/19,655.06 = 9,774.36/x
  3. Step 3: Cross multiply
    14,257.71x = 19,655.06 × 9,774.36
  4. Step 4: Simplify right side
    14,257.71x = 192,115,583.39
  5. Step 5: Solve for x
    x = 192,115,583.39/14,257.71
  6. Step 6: Final answer
    x = 13,474.50

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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.