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Finding the Fourth Proportional to 17,815.83, 24,585.53 and 9,858.03

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Solution

The fourth proportional to 17,815.83, 24,585.53 and 9,858.03 is: 13,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.83 : 24,585.53 = 9,858.03 : x
  2. Step 2: Convert to fraction form
    17,815.83/24,585.53 = 9,858.03/x
  3. Step 3: Cross multiply
    17,815.83x = 24,585.53 × 9,858.03
  4. Step 4: Simplify right side
    17,815.83x = 242,364,843.02
  5. Step 5: Solve for x
    x = 242,364,843.02/17,815.83
  6. Step 6: Final answer
    x = 13,603.90

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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.