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Finding the Fourth Proportional to 17,368.24, 23,968.16 and 9,410.40

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Solution

The fourth proportional to 17,368.24, 23,968.16 and 9,410.40 is: 12,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.24 : 23,968.16 = 9,410.40 : x
  2. Step 2: Convert to fraction form
    17,368.24/23,968.16 = 9,410.40/x
  3. Step 3: Cross multiply
    17,368.24x = 23,968.16 × 9,410.40
  4. Step 4: Simplify right side
    17,368.24x = 225,549,972.86
  5. Step 5: Solve for x
    x = 225,549,972.86/17,368.24
  6. Step 6: Final answer
    x = 12,986.35

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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.