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Finding the Fourth Proportional to 15,707.54, 23,569.00 and 7,388.40

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Solution

The fourth proportional to 15,707.54, 23,569.00 and 7,388.40 is: 11,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.54 : 23,569.00 = 7,388.40 : x
  2. Step 2: Convert to fraction form
    15,707.54/23,569.00 = 7,388.40/x
  3. Step 3: Cross multiply
    15,707.54x = 23,569.00 × 7,388.40
  4. Step 4: Simplify right side
    15,707.54x = 174,137,311.07
  5. Step 5: Solve for x
    x = 174,137,311.07/15,707.54
  6. Step 6: Final answer
    x = 11,086.22

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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.