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Finding the Fourth Proportional to 14,578.16, 21,867.06 and 4,717.22

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Solution

The fourth proportional to 14,578.16, 21,867.06 and 4,717.22 is: 7,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.16 : 21,867.06 = 4,717.22 : x
  2. Step 2: Convert to fraction form
    14,578.16/21,867.06 = 4,717.22/x
  3. Step 3: Cross multiply
    14,578.16x = 21,867.06 × 4,717.22
  4. Step 4: Simplify right side
    14,578.16x = 103,151,732.77
  5. Step 5: Solve for x
    x = 103,151,732.77/14,578.16
  6. Step 6: Final answer
    x = 7,075.77

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Why These Related Problems?

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