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Finding the Fourth Proportional to 15,856.34, 21,881.91 and 9,567.50

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Solution

The fourth proportional to 15,856.34, 21,881.91 and 9,567.50 is: 13,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.34 : 21,881.91 = 9,567.50 : x
  2. Step 2: Convert to fraction form
    15,856.34/21,881.91 = 9,567.50/x
  3. Step 3: Cross multiply
    15,856.34x = 21,881.91 × 9,567.50
  4. Step 4: Simplify right side
    15,856.34x = 209,355,173.93
  5. Step 5: Solve for x
    x = 209,355,173.93/15,856.34
  6. Step 6: Final answer
    x = 13,203.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.