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Finding the Fourth Proportional to 23,774.32, 32,809.08 and 13,164.40

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Solution

The fourth proportional to 23,774.32, 32,809.08 and 13,164.40 is: 18,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.32 : 32,809.08 = 13,164.40 : x
  2. Step 2: Convert to fraction form
    23,774.32/32,809.08 = 13,164.40/x
  3. Step 3: Cross multiply
    23,774.32x = 32,809.08 × 13,164.40
  4. Step 4: Simplify right side
    23,774.32x = 431,911,852.75
  5. Step 5: Solve for x
    x = 431,911,852.75/23,774.32
  6. Step 6: Final answer
    x = 18,167.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.