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Finding the Fourth Proportional to 21,292.22, 31,952.00 and 14,280.16

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Solution

The fourth proportional to 21,292.22, 31,952.00 and 14,280.16 is: 21,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.22 : 31,952.00 = 14,280.16 : x
  2. Step 2: Convert to fraction form
    21,292.22/31,952.00 = 14,280.16/x
  3. Step 3: Cross multiply
    21,292.22x = 31,952.00 × 14,280.16
  4. Step 4: Simplify right side
    21,292.22x = 456,279,628.14
  5. Step 5: Solve for x
    x = 456,279,628.14/21,292.22
  6. Step 6: Final answer
    x = 21,429.40

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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.