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Finding the Fourth Proportional to 23,485.39, 32,409.65 and 12,875.00

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Solution

The fourth proportional to 23,485.39, 32,409.65 and 12,875.00 is: 17,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.39 : 32,409.65 = 12,875.00 : x
  2. Step 2: Convert to fraction form
    23,485.39/32,409.65 = 12,875.00/x
  3. Step 3: Cross multiply
    23,485.39x = 32,409.65 × 12,875.00
  4. Step 4: Simplify right side
    23,485.39x = 417,274,113.89
  5. Step 5: Solve for x
    x = 417,274,113.89/23,485.39
  6. Step 6: Final answer
    x = 17,767.39

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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.