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Finding the Fourth Proportional to 14,034.84, 19,368.66 and 7,661.87

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Solution

The fourth proportional to 14,034.84, 19,368.66 and 7,661.87 is: 10,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.84 : 19,368.66 = 7,661.87 : x
  2. Step 2: Convert to fraction form
    14,034.84/19,368.66 = 7,661.87/x
  3. Step 3: Cross multiply
    14,034.84x = 19,368.66 × 7,661.87
  4. Step 4: Simplify right side
    14,034.84x = 148,400,051.17
  5. Step 5: Solve for x
    x = 148,400,051.17/14,034.84
  6. Step 6: Final answer
    x = 10,573.69

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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.