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Finding the Fourth Proportional to 17,973.68, 24,803.66 and 9,907.07

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Solution

The fourth proportional to 17,973.68, 24,803.66 and 9,907.07 is: 13,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.68 : 24,803.66 = 9,907.07 : x
  2. Step 2: Convert to fraction form
    17,973.68/24,803.66 = 9,907.07/x
  3. Step 3: Cross multiply
    17,973.68x = 24,803.66 × 9,907.07
  4. Step 4: Simplify right side
    17,973.68x = 245,731,422.32
  5. Step 5: Solve for x
    x = 245,731,422.32/17,973.68
  6. Step 6: Final answer
    x = 13,671.74

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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.