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Finding the Fourth Proportional to 14,135.12, 19,497.64 and 9,106

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Solution

The fourth proportional to 14,135.12, 19,497.64 and 9,106 is: 12,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.12 : 19,497.64 = 9,106 : x
  2. Step 2: Convert to fraction form
    14,135.12/19,497.64 = 9,106/x
  3. Step 3: Cross multiply
    14,135.12x = 19,497.64 × 9,106
  4. Step 4: Simplify right side
    14,135.12x = 177,545,509.84
  5. Step 5: Solve for x
    x = 177,545,509.84/14,135.12
  6. Step 6: Final answer
    x = 12,560.59

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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.