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Finding the Fourth Proportional to 21,538.68, 29,705.06 and 14,835.16

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Solution

The fourth proportional to 21,538.68, 29,705.06 and 14,835.16 is: 20,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.68 : 29,705.06 = 14,835.16 : x
  2. Step 2: Convert to fraction form
    21,538.68/29,705.06 = 14,835.16/x
  3. Step 3: Cross multiply
    21,538.68x = 29,705.06 × 14,835.16
  4. Step 4: Simplify right side
    21,538.68x = 440,679,317.91
  5. Step 5: Solve for x
    x = 440,679,317.91/21,538.68
  6. Step 6: Final answer
    x = 20,459.90

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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.