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Finding the Fourth Proportional to 39,506, 59,259.01 and 11,804

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Solution

The fourth proportional to 39,506, 59,259.01 and 11,804 is: 17,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506 : 59,259.01 = 11,804 : x
  2. Step 2: Convert to fraction form
    39,506/59,259.01 = 11,804/x
  3. Step 3: Cross multiply
    39,506x = 59,259.01 × 11,804
  4. Step 4: Simplify right side
    39,506x = 699,493,354.04
  5. Step 5: Solve for x
    x = 699,493,354.04/39,506
  6. Step 6: Final answer
    x = 17,706.00

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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.