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Finding the Fourth Proportional to 14,975.68, 20,674.80 and 10,513.12

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Solution

The fourth proportional to 14,975.68, 20,674.80 and 10,513.12 is: 14,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975.68 : 20,674.80 = 10,513.12 : x
  2. Step 2: Convert to fraction form
    14,975.68/20,674.80 = 10,513.12/x
  3. Step 3: Cross multiply
    14,975.68x = 20,674.80 × 10,513.12
  4. Step 4: Simplify right side
    14,975.68x = 217,356,653.38
  5. Step 5: Solve for x
    x = 217,356,653.38/14,975.68
  6. Step 6: Final answer
    x = 14,513.98

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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.