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Finding the Fourth Proportional to 14,114.34, 19,477.80 and 7,826.76

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Solution

The fourth proportional to 14,114.34, 19,477.80 and 7,826.76 is: 10,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.34 : 19,477.80 = 7,826.76 : x
  2. Step 2: Convert to fraction form
    14,114.34/19,477.80 = 7,826.76/x
  3. Step 3: Cross multiply
    14,114.34x = 19,477.80 × 7,826.76
  4. Step 4: Simplify right side
    14,114.34x = 152,448,065.93
  5. Step 5: Solve for x
    x = 152,448,065.93/14,114.34
  6. Step 6: Final answer
    x = 10,800.93

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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.