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Finding the Fourth Proportional to 19,776.16, 29,664.20 and 4,985

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Solution

The fourth proportional to 19,776.16, 29,664.20 and 4,985 is: 7,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.16 : 29,664.20 = 4,985 : x
  2. Step 2: Convert to fraction form
    19,776.16/29,664.20 = 4,985/x
  3. Step 3: Cross multiply
    19,776.16x = 29,664.20 × 4,985
  4. Step 4: Simplify right side
    19,776.16x = 147,876,037
  5. Step 5: Solve for x
    x = 147,876,037/19,776.16
  6. Step 6: Final answer
    x = 7,477.49

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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.