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Finding the Fourth Proportional to 13,596.54, 18,762.93 and 7,854

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Solution

The fourth proportional to 13,596.54, 18,762.93 and 7,854 is: 10,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.54 : 18,762.93 = 7,854 : x
  2. Step 2: Convert to fraction form
    13,596.54/18,762.93 = 7,854/x
  3. Step 3: Cross multiply
    13,596.54x = 18,762.93 × 7,854
  4. Step 4: Simplify right side
    13,596.54x = 147,364,052.22
  5. Step 5: Solve for x
    x = 147,364,052.22/13,596.54
  6. Step 6: Final answer
    x = 10,838.35

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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.