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Finding the Fourth Proportional to 14,416.32, 19,894.59 and 8,448.03

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Solution

The fourth proportional to 14,416.32, 19,894.59 and 8,448.03 is: 11,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.32 : 19,894.59 = 8,448.03 : x
  2. Step 2: Convert to fraction form
    14,416.32/19,894.59 = 8,448.03/x
  3. Step 3: Cross multiply
    14,416.32x = 19,894.59 × 8,448.03
  4. Step 4: Simplify right side
    14,416.32x = 168,070,093.16
  5. Step 5: Solve for x
    x = 168,070,093.16/14,416.32
  6. Step 6: Final answer
    x = 11,658.32

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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.