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Finding the Fourth Proportional to 15,465, 23,201.34 and 4,521

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Solution

The fourth proportional to 15,465, 23,201.34 and 4,521 is: 6,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,201.34 = 4,521 : x
  2. Step 2: Convert to fraction form
    15,465/23,201.34 = 4,521/x
  3. Step 3: Cross multiply
    15,465x = 23,201.34 × 4,521
  4. Step 4: Simplify right side
    15,465x = 104,893,258.14
  5. Step 5: Solve for x
    x = 104,893,258.14/15,465
  6. Step 6: Final answer
    x = 6,782.62

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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.