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Finding the Fourth Proportional to 22,848.96, 31,533.60 and 13,894.32

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Solution

The fourth proportional to 22,848.96, 31,533.60 and 13,894.32 is: 19,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.96 : 31,533.60 = 13,894.32 : x
  2. Step 2: Convert to fraction form
    22,848.96/31,533.60 = 13,894.32/x
  3. Step 3: Cross multiply
    22,848.96x = 31,533.60 × 13,894.32
  4. Step 4: Simplify right side
    22,848.96x = 438,137,929.15
  5. Step 5: Solve for x
    x = 438,137,929.15/22,848.96
  6. Step 6: Final answer
    x = 19,175.40

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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.