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Finding the Fourth Proportional to 14,050, 19,389.18 and 7,762.96

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Solution

The fourth proportional to 14,050, 19,389.18 and 7,762.96 is: 10,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050 : 19,389.18 = 7,762.96 : x
  2. Step 2: Convert to fraction form
    14,050/19,389.18 = 7,762.96/x
  3. Step 3: Cross multiply
    14,050x = 19,389.18 × 7,762.96
  4. Step 4: Simplify right side
    14,050x = 150,517,428.77
  5. Step 5: Solve for x
    x = 150,517,428.77/14,050
  6. Step 6: Final answer
    x = 10,712.98

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Why These Related Problems?

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