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Finding the Fourth Proportional to 13,800.64, 19,002.70 and 10,402.59

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Solution

The fourth proportional to 13,800.64, 19,002.70 and 10,402.59 is: 14,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.64 : 19,002.70 = 10,402.59 : x
  2. Step 2: Convert to fraction form
    13,800.64/19,002.70 = 10,402.59/x
  3. Step 3: Cross multiply
    13,800.64x = 19,002.70 × 10,402.59
  4. Step 4: Simplify right side
    13,800.64x = 197,677,296.99
  5. Step 5: Solve for x
    x = 197,677,296.99/13,800.64
  6. Step 6: Final answer
    x = 14,323.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.