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Finding the Fourth Proportional to 14,050.64, 19,389.28 and 7,762.88

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Solution

The fourth proportional to 14,050.64, 19,389.28 and 7,762.88 is: 10,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050.64 : 19,389.28 = 7,762.88 : x
  2. Step 2: Convert to fraction form
    14,050.64/19,389.28 = 7,762.88/x
  3. Step 3: Cross multiply
    14,050.64x = 19,389.28 × 7,762.88
  4. Step 4: Simplify right side
    14,050.64x = 150,516,653.93
  5. Step 5: Solve for x
    x = 150,516,653.93/14,050.64
  6. Step 6: Final answer
    x = 10,712.44

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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.