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Finding the Fourth Proportional to 14,221.84, 19,652.21 and 13,539.01

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Solution

The fourth proportional to 14,221.84, 19,652.21 and 13,539.01 is: 18,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.84 : 19,652.21 = 13,539.01 : x
  2. Step 2: Convert to fraction form
    14,221.84/19,652.21 = 13,539.01/x
  3. Step 3: Cross multiply
    14,221.84x = 19,652.21 × 13,539.01
  4. Step 4: Simplify right side
    14,221.84x = 266,071,467.71
  5. Step 5: Solve for x
    x = 266,071,467.71/14,221.84
  6. Step 6: Final answer
    x = 18,708.65

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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.