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Finding the Fourth Proportional to 14,033.34, 21,031.74 and 5,703.54

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Solution

The fourth proportional to 14,033.34, 21,031.74 and 5,703.54 is: 8,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.34 : 21,031.74 = 5,703.54 : x
  2. Step 2: Convert to fraction form
    14,033.34/21,031.74 = 5,703.54/x
  3. Step 3: Cross multiply
    14,033.34x = 21,031.74 × 5,703.54
  4. Step 4: Simplify right side
    14,033.34x = 119,955,370.36
  5. Step 5: Solve for x
    x = 119,955,370.36/14,033.34
  6. Step 6: Final answer
    x = 8,547.88

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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.