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Finding the Fourth Proportional to 14,207.60, 21,312.84 and 3,820.40

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Solution

The fourth proportional to 14,207.60, 21,312.84 and 3,820.40 is: 5,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.60 : 21,312.84 = 3,820.40 : x
  2. Step 2: Convert to fraction form
    14,207.60/21,312.84 = 3,820.40/x
  3. Step 3: Cross multiply
    14,207.60x = 21,312.84 × 3,820.40
  4. Step 4: Simplify right side
    14,207.60x = 81,423,573.94
  5. Step 5: Solve for x
    x = 81,423,573.94/14,207.60
  6. Step 6: Final answer
    x = 5,730.99

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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.