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Finding the Fourth Proportional to 15,807.81, 21,819.33 and 10,434.17

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Solution

The fourth proportional to 15,807.81, 21,819.33 and 10,434.17 is: 14,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.81 : 21,819.33 = 10,434.17 : x
  2. Step 2: Convert to fraction form
    15,807.81/21,819.33 = 10,434.17/x
  3. Step 3: Cross multiply
    15,807.81x = 21,819.33 × 10,434.17
  4. Step 4: Simplify right side
    15,807.81x = 227,666,653.05
  5. Step 5: Solve for x
    x = 227,666,653.05/15,807.81
  6. Step 6: Final answer
    x = 14,402.16

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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.