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Finding the Fourth Proportional to 13,925.47, 19,213.84 and 7,875.84

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Solution

The fourth proportional to 13,925.47, 19,213.84 and 7,875.84 is: 10,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.47 : 19,213.84 = 7,875.84 : x
  2. Step 2: Convert to fraction form
    13,925.47/19,213.84 = 7,875.84/x
  3. Step 3: Cross multiply
    13,925.47x = 19,213.84 × 7,875.84
  4. Step 4: Simplify right side
    13,925.47x = 151,325,129.63
  5. Step 5: Solve for x
    x = 151,325,129.63/13,925.47
  6. Step 6: Final answer
    x = 10,866.79

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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.