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Finding the Fourth Proportional to 17,970.52, 24,798.68 and 10,012.32

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Solution

The fourth proportional to 17,970.52, 24,798.68 and 10,012.32 is: 13,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.52 : 24,798.68 = 10,012.32 : x
  2. Step 2: Convert to fraction form
    17,970.52/24,798.68 = 10,012.32/x
  3. Step 3: Cross multiply
    17,970.52x = 24,798.68 × 10,012.32
  4. Step 4: Simplify right side
    17,970.52x = 248,292,319.74
  5. Step 5: Solve for x
    x = 248,292,319.74/17,970.52
  6. Step 6: Final answer
    x = 13,816.65

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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.