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Finding the Fourth Proportional to 13,710.19, 20,573.79 and 6,315.70

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Solution

The fourth proportional to 13,710.19, 20,573.79 and 6,315.70 is: 9,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.19 : 20,573.79 = 6,315.70 : x
  2. Step 2: Convert to fraction form
    13,710.19/20,573.79 = 6,315.70/x
  3. Step 3: Cross multiply
    13,710.19x = 20,573.79 × 6,315.70
  4. Step 4: Simplify right side
    13,710.19x = 129,937,885.50
  5. Step 5: Solve for x
    x = 129,937,885.50/13,710.19
  6. Step 6: Final answer
    x = 9,477.47

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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.