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Finding the Fourth Proportional to 13,795.48, 19,038 and 7,827.04

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Solution

The fourth proportional to 13,795.48, 19,038 and 7,827.04 is: 10,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.48 : 19,038 = 7,827.04 : x
  2. Step 2: Convert to fraction form
    13,795.48/19,038 = 7,827.04/x
  3. Step 3: Cross multiply
    13,795.48x = 19,038 × 7,827.04
  4. Step 4: Simplify right side
    13,795.48x = 149,011,187.52
  5. Step 5: Solve for x
    x = 149,011,187.52/13,795.48
  6. Step 6: Final answer
    x = 10,801.45

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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.