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Finding the Fourth Proportional to 14,455.64, 19,946.58 and 8,165.72

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Solution

The fourth proportional to 14,455.64, 19,946.58 and 8,165.72 is: 11,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.64 : 19,946.58 = 8,165.72 : x
  2. Step 2: Convert to fraction form
    14,455.64/19,946.58 = 8,165.72/x
  3. Step 3: Cross multiply
    14,455.64x = 19,946.58 × 8,165.72
  4. Step 4: Simplify right side
    14,455.64x = 162,878,187.24
  5. Step 5: Solve for x
    x = 162,878,187.24/14,455.64
  6. Step 6: Final answer
    x = 11,267.45

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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.