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Finding the Fourth Proportional to 14,302.70, 21,434.30 and 10,322.23

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Solution

The fourth proportional to 14,302.70, 21,434.30 and 10,322.23 is: 15,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.70 : 21,434.30 = 10,322.23 : x
  2. Step 2: Convert to fraction form
    14,302.70/21,434.30 = 10,322.23/x
  3. Step 3: Cross multiply
    14,302.70x = 21,434.30 × 10,322.23
  4. Step 4: Simplify right side
    14,302.70x = 221,249,667.32
  5. Step 5: Solve for x
    x = 221,249,667.32/14,302.70
  6. Step 6: Final answer
    x = 15,469.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.