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Finding the Fourth Proportional to 19,156.84, 28,741.14 and 9,803.51

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Solution

The fourth proportional to 19,156.84, 28,741.14 and 9,803.51 is: 14,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156.84 : 28,741.14 = 9,803.51 : x
  2. Step 2: Convert to fraction form
    19,156.84/28,741.14 = 9,803.51/x
  3. Step 3: Cross multiply
    19,156.84x = 28,741.14 × 9,803.51
  4. Step 4: Simplify right side
    19,156.84x = 281,764,053.40
  5. Step 5: Solve for x
    x = 281,764,053.40/19,156.84
  6. Step 6: Final answer
    x = 14,708.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.