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Finding the Fourth Proportional to 14,193.79, 19,587.18 and 7,820.98

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Solution

The fourth proportional to 14,193.79, 19,587.18 and 7,820.98 is: 10,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.79 : 19,587.18 = 7,820.98 : x
  2. Step 2: Convert to fraction form
    14,193.79/19,587.18 = 7,820.98/x
  3. Step 3: Cross multiply
    14,193.79x = 19,587.18 × 7,820.98
  4. Step 4: Simplify right side
    14,193.79x = 153,190,943.04
  5. Step 5: Solve for x
    x = 153,190,943.04/14,193.79
  6. Step 6: Final answer
    x = 10,792.81

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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.