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Finding the Fourth Proportional to 14,314.24, 21,460.48 and 7,384.32

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Solution

The fourth proportional to 14,314.24, 21,460.48 and 7,384.32 is: 11,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.24 : 21,460.48 = 7,384.32 : x
  2. Step 2: Convert to fraction form
    14,314.24/21,460.48 = 7,384.32/x
  3. Step 3: Cross multiply
    14,314.24x = 21,460.48 × 7,384.32
  4. Step 4: Simplify right side
    14,314.24x = 158,471,051.67
  5. Step 5: Solve for x
    x = 158,471,051.67/14,314.24
  6. Step 6: Final answer
    x = 11,070.87

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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.