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Finding the Fourth Proportional to 15,289, 22,933.50 and 4,901.56

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Solution

The fourth proportional to 15,289, 22,933.50 and 4,901.56 is: 7,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289 : 22,933.50 = 4,901.56 : x
  2. Step 2: Convert to fraction form
    15,289/22,933.50 = 4,901.56/x
  3. Step 3: Cross multiply
    15,289x = 22,933.50 × 4,901.56
  4. Step 4: Simplify right side
    15,289x = 112,409,926.26
  5. Step 5: Solve for x
    x = 112,409,926.26/15,289
  6. Step 6: Final answer
    x = 7,352.34

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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.