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Finding the Fourth Proportional to 14,897.80, 22,314.30 and 9,065.80

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Solution

The fourth proportional to 14,897.80, 22,314.30 and 9,065.80 is: 13,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.80 : 22,314.30 = 9,065.80 : x
  2. Step 2: Convert to fraction form
    14,897.80/22,314.30 = 9,065.80/x
  3. Step 3: Cross multiply
    14,897.80x = 22,314.30 × 9,065.80
  4. Step 4: Simplify right side
    14,897.80x = 202,296,980.94
  5. Step 5: Solve for x
    x = 202,296,980.94/14,897.80
  6. Step 6: Final answer
    x = 13,578.98

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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.