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Finding the Fourth Proportional to 19,710.90, 27,205.38 and 12,539.34

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Solution

The fourth proportional to 19,710.90, 27,205.38 and 12,539.34 is: 17,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.90 : 27,205.38 = 12,539.34 : x
  2. Step 2: Convert to fraction form
    19,710.90/27,205.38 = 12,539.34/x
  3. Step 3: Cross multiply
    19,710.90x = 27,205.38 × 12,539.34
  4. Step 4: Simplify right side
    19,710.90x = 341,137,509.65
  5. Step 5: Solve for x
    x = 341,137,509.65/19,710.90
  6. Step 6: Final answer
    x = 17,307.05

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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.