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Finding the Fourth Proportional to 19,156.05, 26,434.96 and 10,658

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Solution

The fourth proportional to 19,156.05, 26,434.96 and 10,658 is: 14,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.05 : 26,434.96 = 10,658 : x
  2. Step 2: Convert to fraction form
    19,156.05/26,434.96 = 10,658/x
  3. Step 3: Cross multiply
    19,156.05x = 26,434.96 × 10,658
  4. Step 4: Simplify right side
    19,156.05x = 281,743,803.68
  5. Step 5: Solve for x
    x = 281,743,803.68/19,156.05
  6. Step 6: Final answer
    x = 14,707.82

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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.