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Finding the Fourth Proportional to 10,054.30, 15,021.95 and 9,709.78

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Solution

The fourth proportional to 10,054.30, 15,021.95 and 9,709.78 is: 14,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.30 : 15,021.95 = 9,709.78 : x
  2. Step 2: Convert to fraction form
    10,054.30/15,021.95 = 9,709.78/x
  3. Step 3: Cross multiply
    10,054.30x = 15,021.95 × 9,709.78
  4. Step 4: Simplify right side
    10,054.30x = 145,859,829.67
  5. Step 5: Solve for x
    x = 145,859,829.67/10,054.30
  6. Step 6: Final answer
    x = 14,507.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.