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Finding the Fourth Proportional to 14,401.84, 19,875.69 and 8,030.50

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Solution

The fourth proportional to 14,401.84, 19,875.69 and 8,030.50 is: 11,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.84 : 19,875.69 = 8,030.50 : x
  2. Step 2: Convert to fraction form
    14,401.84/19,875.69 = 8,030.50/x
  3. Step 3: Cross multiply
    14,401.84x = 19,875.69 × 8,030.50
  4. Step 4: Simplify right side
    14,401.84x = 159,611,728.55
  5. Step 5: Solve for x
    x = 159,611,728.55/14,401.84
  6. Step 6: Final answer
    x = 11,082.73

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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.