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Finding the Fourth Proportional to 14,037.68, 21,038.30 and 5,708.00

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Solution

The fourth proportional to 14,037.68, 21,038.30 and 5,708.00 is: 8,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.68 : 21,038.30 = 5,708.00 : x
  2. Step 2: Convert to fraction form
    14,037.68/21,038.30 = 5,708.00/x
  3. Step 3: Cross multiply
    14,037.68x = 21,038.30 × 5,708.00
  4. Step 4: Simplify right side
    14,037.68x = 120,086,525.48
  5. Step 5: Solve for x
    x = 120,086,525.48/14,037.68
  6. Step 6: Final answer
    x = 8,554.59

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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.