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Finding the Fourth Proportional to 24,075.68, 33,230.10 and 14,005.68

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Solution

The fourth proportional to 24,075.68, 33,230.10 and 14,005.68 is: 19,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.68 : 33,230.10 = 14,005.68 : x
  2. Step 2: Convert to fraction form
    24,075.68/33,230.10 = 14,005.68/x
  3. Step 3: Cross multiply
    24,075.68x = 33,230.10 × 14,005.68
  4. Step 4: Simplify right side
    24,075.68x = 465,410,276.47
  5. Step 5: Solve for x
    x = 465,410,276.47/24,075.68
  6. Step 6: Final answer
    x = 19,331.14

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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.