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Finding the Fourth Proportional to 19,133.68, 26,410 and 13,180.16

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Solution

The fourth proportional to 19,133.68, 26,410 and 13,180.16 is: 18,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133.68 : 26,410 = 13,180.16 : x
  2. Step 2: Convert to fraction form
    19,133.68/26,410 = 13,180.16/x
  3. Step 3: Cross multiply
    19,133.68x = 26,410 × 13,180.16
  4. Step 4: Simplify right side
    19,133.68x = 348,088,025.60
  5. Step 5: Solve for x
    x = 348,088,025.60/19,133.68
  6. Step 6: Final answer
    x = 18,192.42

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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.