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Finding the Fourth Proportional to 14,858.34, 20,507.40 and 9,822.84

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Solution

The fourth proportional to 14,858.34, 20,507.40 and 9,822.84 is: 13,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858.34 : 20,507.40 = 9,822.84 : x
  2. Step 2: Convert to fraction form
    14,858.34/20,507.40 = 9,822.84/x
  3. Step 3: Cross multiply
    14,858.34x = 20,507.40 × 9,822.84
  4. Step 4: Simplify right side
    14,858.34x = 201,440,909.02
  5. Step 5: Solve for x
    x = 201,440,909.02/14,858.34
  6. Step 6: Final answer
    x = 13,557.43

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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.