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Finding the Fourth Proportional to 14,530.47, 20,044.64 and 9,497.63

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Solution

The fourth proportional to 14,530.47, 20,044.64 and 9,497.63 is: 13,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.47 : 20,044.64 = 9,497.63 : x
  2. Step 2: Convert to fraction form
    14,530.47/20,044.64 = 9,497.63/x
  3. Step 3: Cross multiply
    14,530.47x = 20,044.64 × 9,497.63
  4. Step 4: Simplify right side
    14,530.47x = 190,376,426.49
  5. Step 5: Solve for x
    x = 190,376,426.49/14,530.47
  6. Step 6: Final answer
    x = 13,101.88

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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.