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Finding the Fourth Proportional to 14,242.37, 19,655.46 and 7,869.15

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Solution

The fourth proportional to 14,242.37, 19,655.46 and 7,869.15 is: 10,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.37 : 19,655.46 = 7,869.15 : x
  2. Step 2: Convert to fraction form
    14,242.37/19,655.46 = 7,869.15/x
  3. Step 3: Cross multiply
    14,242.37x = 19,655.46 × 7,869.15
  4. Step 4: Simplify right side
    14,242.37x = 154,671,763.06
  5. Step 5: Solve for x
    x = 154,671,763.06/14,242.37
  6. Step 6: Final answer
    x = 10,859.98

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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.