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Finding the Fourth Proportional to 23,070.81, 34,584.35 and 7,477.50

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Solution

The fourth proportional to 23,070.81, 34,584.35 and 7,477.50 is: 11,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.81 : 34,584.35 = 7,477.50 : x
  2. Step 2: Convert to fraction form
    23,070.81/34,584.35 = 7,477.50/x
  3. Step 3: Cross multiply
    23,070.81x = 34,584.35 × 7,477.50
  4. Step 4: Simplify right side
    23,070.81x = 258,604,439.74
  5. Step 5: Solve for x
    x = 258,604,439.74/23,070.81
  6. Step 6: Final answer
    x = 11,209.16

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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.