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Finding the Fourth Proportional to 17,465.02, 24,101.08 and 9,507.07

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Solution

The fourth proportional to 17,465.02, 24,101.08 and 9,507.07 is: 13,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.02 : 24,101.08 = 9,507.07 : x
  2. Step 2: Convert to fraction form
    17,465.02/24,101.08 = 9,507.07/x
  3. Step 3: Cross multiply
    17,465.02x = 24,101.08 × 9,507.07
  4. Step 4: Simplify right side
    17,465.02x = 229,130,701.10
  5. Step 5: Solve for x
    x = 229,130,701.10/17,465.02
  6. Step 6: Final answer
    x = 13,119.41

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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.