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Finding the Fourth Proportional to 13,332.88, 19,955.92 and 9,821.50

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Solution

The fourth proportional to 13,332.88, 19,955.92 and 9,821.50 is: 14,700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,332.88 : 19,955.92 = 9,821.50 : x
  2. Step 2: Convert to fraction form
    13,332.88/19,955.92 = 9,821.50/x
  3. Step 3: Cross multiply
    13,332.88x = 19,955.92 × 9,821.50
  4. Step 4: Simplify right side
    13,332.88x = 195,997,124.50
  5. Step 5: Solve for x
    x = 195,997,124.50/13,332.88
  6. Step 6: Final answer
    x = 14,700.29

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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.