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Finding the Fourth Proportional to 23,706.63, 35,569.51 and 10,550

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Solution

The fourth proportional to 23,706.63, 35,569.51 and 10,550 is: 15,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.63 : 35,569.51 = 10,550 : x
  2. Step 2: Convert to fraction form
    23,706.63/35,569.51 = 10,550/x
  3. Step 3: Cross multiply
    23,706.63x = 35,569.51 × 10,550
  4. Step 4: Simplify right side
    23,706.63x = 375,258,330.50
  5. Step 5: Solve for x
    x = 375,258,330.50/23,706.63
  6. Step 6: Final answer
    x = 15,829.26

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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.