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Finding the Fourth Proportional to 14,068.16, 21,114.24 and 7,834.40

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Solution

The fourth proportional to 14,068.16, 21,114.24 and 7,834.40 is: 11,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.16 : 21,114.24 = 7,834.40 : x
  2. Step 2: Convert to fraction form
    14,068.16/21,114.24 = 7,834.40/x
  3. Step 3: Cross multiply
    14,068.16x = 21,114.24 × 7,834.40
  4. Step 4: Simplify right side
    14,068.16x = 165,417,401.86
  5. Step 5: Solve for x
    x = 165,417,401.86/14,068.16
  6. Step 6: Final answer
    x = 11,758.28

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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.