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Finding the Fourth Proportional to 12,614.84, 18,897.65 and 9,276.93

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Solution

The fourth proportional to 12,614.84, 18,897.65 and 9,276.93 is: 13,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.84 : 18,897.65 = 9,276.93 : x
  2. Step 2: Convert to fraction form
    12,614.84/18,897.65 = 9,276.93/x
  3. Step 3: Cross multiply
    12,614.84x = 18,897.65 × 9,276.93
  4. Step 4: Simplify right side
    12,614.84x = 175,312,216.80
  5. Step 5: Solve for x
    x = 175,312,216.80/12,614.84
  6. Step 6: Final answer
    x = 13,897.30

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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.