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Finding the Fourth Proportional to 14,880.53, 20,536.03 and 9,836.00

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Solution

The fourth proportional to 14,880.53, 20,536.03 and 9,836.00 is: 13,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880.53 : 20,536.03 = 9,836.00 : x
  2. Step 2: Convert to fraction form
    14,880.53/20,536.03 = 9,836.00/x
  3. Step 3: Cross multiply
    14,880.53x = 20,536.03 × 9,836.00
  4. Step 4: Simplify right side
    14,880.53x = 201,992,263.81
  5. Step 5: Solve for x
    x = 201,992,263.81/14,880.53
  6. Step 6: Final answer
    x = 13,574.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.