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Finding the Fourth Proportional to 17,672, 24,391.76 and 10,224.32

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Solution

The fourth proportional to 17,672, 24,391.76 and 10,224.32 is: 14,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672 : 24,391.76 = 10,224.32 : x
  2. Step 2: Convert to fraction form
    17,672/24,391.76 = 10,224.32/x
  3. Step 3: Cross multiply
    17,672x = 24,391.76 × 10,224.32
  4. Step 4: Simplify right side
    17,672x = 249,389,159.60
  5. Step 5: Solve for x
    x = 249,389,159.60/17,672
  6. Step 6: Final answer
    x = 14,112.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.