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Finding the Fourth Proportional to 14,284.34, 21,415.16 and 5,959.16

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Solution

The fourth proportional to 14,284.34, 21,415.16 and 5,959.16 is: 8,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.34 : 21,415.16 = 5,959.16 : x
  2. Step 2: Convert to fraction form
    14,284.34/21,415.16 = 5,959.16/x
  3. Step 3: Cross multiply
    14,284.34x = 21,415.16 × 5,959.16
  4. Step 4: Simplify right side
    14,284.34x = 127,616,364.87
  5. Step 5: Solve for x
    x = 127,616,364.87/14,284.34
  6. Step 6: Final answer
    x = 8,934.00

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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.