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Finding the Fourth Proportional to 13,017, 19,526.04 and 3,783

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Solution

The fourth proportional to 13,017, 19,526.04 and 3,783 is: 5,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017 : 19,526.04 = 3,783 : x
  2. Step 2: Convert to fraction form
    13,017/19,526.04 = 3,783/x
  3. Step 3: Cross multiply
    13,017x = 19,526.04 × 3,783
  4. Step 4: Simplify right side
    13,017x = 73,867,009.32
  5. Step 5: Solve for x
    x = 73,867,009.32/13,017
  6. Step 6: Final answer
    x = 5,674.66

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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.