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Finding the Fourth Proportional to 12,477.64, 17,214.63 and 9,607.24

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Solution

The fourth proportional to 12,477.64, 17,214.63 and 9,607.24 is: 13,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.64 : 17,214.63 = 9,607.24 : x
  2. Step 2: Convert to fraction form
    12,477.64/17,214.63 = 9,607.24/x
  3. Step 3: Cross multiply
    12,477.64x = 17,214.63 × 9,607.24
  4. Step 4: Simplify right side
    12,477.64x = 165,385,081.92
  5. Step 5: Solve for x
    x = 165,385,081.92/12,477.64
  6. Step 6: Final answer
    x = 13,254.52

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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.