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Finding the Fourth Proportional to 14,907.83, 20,574.74 and 9,618.03

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Solution

The fourth proportional to 14,907.83, 20,574.74 and 9,618.03 is: 13,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.83 : 20,574.74 = 9,618.03 : x
  2. Step 2: Convert to fraction form
    14,907.83/20,574.74 = 9,618.03/x
  3. Step 3: Cross multiply
    14,907.83x = 20,574.74 × 9,618.03
  4. Step 4: Simplify right side
    14,907.83x = 197,888,490.61
  5. Step 5: Solve for x
    x = 197,888,490.61/14,907.83
  6. Step 6: Final answer
    x = 13,274.14

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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.