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Finding the Fourth Proportional to 15,763.50, 23,652.75 and 9,838.77

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Solution

The fourth proportional to 15,763.50, 23,652.75 and 9,838.77 is: 14,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.50 : 23,652.75 = 9,838.77 : x
  2. Step 2: Convert to fraction form
    15,763.50/23,652.75 = 9,838.77/x
  3. Step 3: Cross multiply
    15,763.50x = 23,652.75 × 9,838.77
  4. Step 4: Simplify right side
    15,763.50x = 232,713,967.12
  5. Step 5: Solve for x
    x = 232,713,967.12/15,763.50
  6. Step 6: Final answer
    x = 14,762.84

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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.