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Finding the Fourth Proportional to 14,298.16, 19,720.92 and 9,822.64

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Solution

The fourth proportional to 14,298.16, 19,720.92 and 9,822.64 is: 13,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.16 : 19,720.92 = 9,822.64 : x
  2. Step 2: Convert to fraction form
    14,298.16/19,720.92 = 9,822.64/x
  3. Step 3: Cross multiply
    14,298.16x = 19,720.92 × 9,822.64
  4. Step 4: Simplify right side
    14,298.16x = 193,711,497.63
  5. Step 5: Solve for x
    x = 193,711,497.63/14,298.16
  6. Step 6: Final answer
    x = 13,548.00

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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.