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Finding the Fourth Proportional to 15,254, 22,880.24 and 4,864.40

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Solution

The fourth proportional to 15,254, 22,880.24 and 4,864.40 is: 7,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,254 : 22,880.24 = 4,864.40 : x
  2. Step 2: Convert to fraction form
    15,254/22,880.24 = 4,864.40/x
  3. Step 3: Cross multiply
    15,254x = 22,880.24 × 4,864.40
  4. Step 4: Simplify right side
    15,254x = 111,298,639.46
  5. Step 5: Solve for x
    x = 111,298,639.46/15,254
  6. Step 6: Final answer
    x = 7,296.36

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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.