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Finding the Fourth Proportional to 17,762.95, 24,512.38 and 9,804.60

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Solution

The fourth proportional to 17,762.95, 24,512.38 and 9,804.60 is: 13,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.95 : 24,512.38 = 9,804.60 : x
  2. Step 2: Convert to fraction form
    17,762.95/24,512.38 = 9,804.60/x
  3. Step 3: Cross multiply
    17,762.95x = 24,512.38 × 9,804.60
  4. Step 4: Simplify right side
    17,762.95x = 240,334,080.95
  5. Step 5: Solve for x
    x = 240,334,080.95/17,762.95
  6. Step 6: Final answer
    x = 13,530.08

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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.