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Finding the Fourth Proportional to 14,748, 22,122.08 and 3,804

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Solution

The fourth proportional to 14,748, 22,122.08 and 3,804 is: 5,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748 : 22,122.08 = 3,804 : x
  2. Step 2: Convert to fraction form
    14,748/22,122.08 = 3,804/x
  3. Step 3: Cross multiply
    14,748x = 22,122.08 × 3,804
  4. Step 4: Simplify right side
    14,748x = 84,152,392.32
  5. Step 5: Solve for x
    x = 84,152,392.32/14,748
  6. Step 6: Final answer
    x = 5,706.02

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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.