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Finding the Fourth Proportional to 13,925.74, 19,216.26 and 7,957.38

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Solution

The fourth proportional to 13,925.74, 19,216.26 and 7,957.38 is: 10,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.74 : 19,216.26 = 7,957.38 : x
  2. Step 2: Convert to fraction form
    13,925.74/19,216.26 = 7,957.38/x
  3. Step 3: Cross multiply
    13,925.74x = 19,216.26 × 7,957.38
  4. Step 4: Simplify right side
    13,925.74x = 152,911,083.00
  5. Step 5: Solve for x
    x = 152,911,083.00/13,925.74
  6. Step 6: Final answer
    x = 10,980.46

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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.