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Finding the Fourth Proportional to 23,416.83, 32,314.04 and 14,465.12

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Solution

The fourth proportional to 23,416.83, 32,314.04 and 14,465.12 is: 19,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.83 : 32,314.04 = 14,465.12 : x
  2. Step 2: Convert to fraction form
    23,416.83/32,314.04 = 14,465.12/x
  3. Step 3: Cross multiply
    23,416.83x = 32,314.04 × 14,465.12
  4. Step 4: Simplify right side
    23,416.83x = 467,426,286.63
  5. Step 5: Solve for x
    x = 467,426,286.63/23,416.83
  6. Step 6: Final answer
    x = 19,961.13

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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.