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Finding the Fourth Proportional to 19,828.63, 29,742.56 and 4,835.84

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Solution

The fourth proportional to 19,828.63, 29,742.56 and 4,835.84 is: 7,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.63 : 29,742.56 = 4,835.84 : x
  2. Step 2: Convert to fraction form
    19,828.63/29,742.56 = 4,835.84/x
  3. Step 3: Cross multiply
    19,828.63x = 29,742.56 × 4,835.84
  4. Step 4: Simplify right side
    19,828.63x = 143,830,106.59
  5. Step 5: Solve for x
    x = 143,830,106.59/19,828.63
  6. Step 6: Final answer
    x = 7,253.66

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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.