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Finding the Fourth Proportional to 13,263.24, 19,894.86 and 7,416.66

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Solution

The fourth proportional to 13,263.24, 19,894.86 and 7,416.66 is: 11,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.24 : 19,894.86 = 7,416.66 : x
  2. Step 2: Convert to fraction form
    13,263.24/19,894.86 = 7,416.66/x
  3. Step 3: Cross multiply
    13,263.24x = 19,894.86 × 7,416.66
  4. Step 4: Simplify right side
    13,263.24x = 147,553,412.37
  5. Step 5: Solve for x
    x = 147,553,412.37/13,263.24
  6. Step 6: Final answer
    x = 11,124.99

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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.