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Finding the Fourth Proportional to 14,341.60, 21,510.78 and 3,952

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Solution

The fourth proportional to 14,341.60, 21,510.78 and 3,952 is: 5,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.60 : 21,510.78 = 3,952 : x
  2. Step 2: Convert to fraction form
    14,341.60/21,510.78 = 3,952/x
  3. Step 3: Cross multiply
    14,341.60x = 21,510.78 × 3,952
  4. Step 4: Simplify right side
    14,341.60x = 85,010,602.56
  5. Step 5: Solve for x
    x = 85,010,602.56/14,341.60
  6. Step 6: Final answer
    x = 5,927.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.