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Finding the Fourth Proportional to 19,806.61, 29,693.52 and 9,271.45

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Solution

The fourth proportional to 19,806.61, 29,693.52 and 9,271.45 is: 13,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.61 : 29,693.52 = 9,271.45 : x
  2. Step 2: Convert to fraction form
    19,806.61/29,693.52 = 9,271.45/x
  3. Step 3: Cross multiply
    19,806.61x = 29,693.52 × 9,271.45
  4. Step 4: Simplify right side
    19,806.61x = 275,301,986.00
  5. Step 5: Solve for x
    x = 275,301,986.00/19,806.61
  6. Step 6: Final answer
    x = 13,899.50

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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.