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Finding the Fourth Proportional to 13,997.63, 19,314.65 and 7,946.93

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Solution

The fourth proportional to 13,997.63, 19,314.65 and 7,946.93 is: 10,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.63 : 19,314.65 = 7,946.93 : x
  2. Step 2: Convert to fraction form
    13,997.63/19,314.65 = 7,946.93/x
  3. Step 3: Cross multiply
    13,997.63x = 19,314.65 × 7,946.93
  4. Step 4: Simplify right side
    13,997.63x = 153,492,035.22
  5. Step 5: Solve for x
    x = 153,492,035.22/13,997.63
  6. Step 6: Final answer
    x = 10,965.58

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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.