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Finding the Fourth Proportional to 16,807.08, 23,193.36 and 9,733.08

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Solution

The fourth proportional to 16,807.08, 23,193.36 and 9,733.08 is: 13,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.08 : 23,193.36 = 9,733.08 : x
  2. Step 2: Convert to fraction form
    16,807.08/23,193.36 = 9,733.08/x
  3. Step 3: Cross multiply
    16,807.08x = 23,193.36 × 9,733.08
  4. Step 4: Simplify right side
    16,807.08x = 225,742,828.35
  5. Step 5: Solve for x
    x = 225,742,828.35/16,807.08
  6. Step 6: Final answer
    x = 13,431.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.