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Finding the Fourth Proportional to 13,281.36, 19,908.12 and 4,957.80

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Solution

The fourth proportional to 13,281.36, 19,908.12 and 4,957.80 is: 7,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.36 : 19,908.12 = 4,957.80 : x
  2. Step 2: Convert to fraction form
    13,281.36/19,908.12 = 4,957.80/x
  3. Step 3: Cross multiply
    13,281.36x = 19,908.12 × 4,957.80
  4. Step 4: Simplify right side
    13,281.36x = 98,700,477.34
  5. Step 5: Solve for x
    x = 98,700,477.34/13,281.36
  6. Step 6: Final answer
    x = 7,431.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.