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Finding the Fourth Proportional to 22,752.48, 31,385.16 and 15,678.48

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Solution

The fourth proportional to 22,752.48, 31,385.16 and 15,678.48 is: 21,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.48 : 31,385.16 = 15,678.48 : x
  2. Step 2: Convert to fraction form
    22,752.48/31,385.16 = 15,678.48/x
  3. Step 3: Cross multiply
    22,752.48x = 31,385.16 × 15,678.48
  4. Step 4: Simplify right side
    22,752.48x = 492,071,603.36
  5. Step 5: Solve for x
    x = 492,071,603.36/22,752.48
  6. Step 6: Final answer
    x = 21,627.16

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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.