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Finding the Fourth Proportional to 13,925.63, 19,217.12 and 7,875.78

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Solution

The fourth proportional to 13,925.63, 19,217.12 and 7,875.78 is: 10,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.63 : 19,217.12 = 7,875.78 : x
  2. Step 2: Convert to fraction form
    13,925.63/19,217.12 = 7,875.78/x
  3. Step 3: Cross multiply
    13,925.63x = 19,217.12 × 7,875.78
  4. Step 4: Simplify right side
    13,925.63x = 151,349,809.35
  5. Step 5: Solve for x
    x = 151,349,809.35/13,925.63
  6. Step 6: Final answer
    x = 10,868.44

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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.