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Finding the Fourth Proportional to 15,698.80, 23,533.56 and 5,303.28

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Solution

The fourth proportional to 15,698.80, 23,533.56 and 5,303.28 is: 7,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.80 : 23,533.56 = 5,303.28 : x
  2. Step 2: Convert to fraction form
    15,698.80/23,533.56 = 5,303.28/x
  3. Step 3: Cross multiply
    15,698.80x = 23,533.56 × 5,303.28
  4. Step 4: Simplify right side
    15,698.80x = 124,805,058.08
  5. Step 5: Solve for x
    x = 124,805,058.08/15,698.80
  6. Step 6: Final answer
    x = 7,949.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.