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Finding the Fourth Proportional to 12,941.58, 19,415.25 and 7,095.18

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Solution

The fourth proportional to 12,941.58, 19,415.25 and 7,095.18 is: 10,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.58 : 19,415.25 = 7,095.18 : x
  2. Step 2: Convert to fraction form
    12,941.58/19,415.25 = 7,095.18/x
  3. Step 3: Cross multiply
    12,941.58x = 19,415.25 × 7,095.18
  4. Step 4: Simplify right side
    12,941.58x = 137,754,693.50
  5. Step 5: Solve for x
    x = 137,754,693.50/12,941.58
  6. Step 6: Final answer
    x = 10,644.35

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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.