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Finding the Fourth Proportional to 14,312.34, 21,449.07 and 7,391.70

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Solution

The fourth proportional to 14,312.34, 21,449.07 and 7,391.70 is: 11,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.34 : 21,449.07 = 7,391.70 : x
  2. Step 2: Convert to fraction form
    14,312.34/21,449.07 = 7,391.70/x
  3. Step 3: Cross multiply
    14,312.34x = 21,449.07 × 7,391.70
  4. Step 4: Simplify right side
    14,312.34x = 158,545,090.72
  5. Step 5: Solve for x
    x = 158,545,090.72/14,312.34
  6. Step 6: Final answer
    x = 11,077.51

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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.