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Finding the Fourth Proportional to 14,032.96, 21,060.14 and 5,156.70

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Solution

The fourth proportional to 14,032.96, 21,060.14 and 5,156.70 is: 7,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.96 : 21,060.14 = 5,156.70 : x
  2. Step 2: Convert to fraction form
    14,032.96/21,060.14 = 5,156.70/x
  3. Step 3: Cross multiply
    14,032.96x = 21,060.14 × 5,156.70
  4. Step 4: Simplify right side
    14,032.96x = 108,600,797.34
  5. Step 5: Solve for x
    x = 108,600,797.34/14,032.96
  6. Step 6: Final answer
    x = 7,738.98

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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.