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Finding the Fourth Proportional to 21,710.12, 32,567.88 and 7,667.30

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Solution

The fourth proportional to 21,710.12, 32,567.88 and 7,667.30 is: 11,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.12 : 32,567.88 = 7,667.30 : x
  2. Step 2: Convert to fraction form
    21,710.12/32,567.88 = 7,667.30/x
  3. Step 3: Cross multiply
    21,710.12x = 32,567.88 × 7,667.30
  4. Step 4: Simplify right side
    21,710.12x = 249,707,706.32
  5. Step 5: Solve for x
    x = 249,707,706.32/21,710.12
  6. Step 6: Final answer
    x = 11,501.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.