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Finding the Fourth Proportional to 14,607.60, 21,913.56 and 5,842.32

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Solution

The fourth proportional to 14,607.60, 21,913.56 and 5,842.32 is: 8,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.60 : 21,913.56 = 5,842.32 : x
  2. Step 2: Convert to fraction form
    14,607.60/21,913.56 = 5,842.32/x
  3. Step 3: Cross multiply
    14,607.60x = 21,913.56 × 5,842.32
  4. Step 4: Simplify right side
    14,607.60x = 128,026,029.86
  5. Step 5: Solve for x
    x = 128,026,029.86/14,607.60
  6. Step 6: Final answer
    x = 8,764.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.