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Finding the Fourth Proportional to 25,564.42, 35,283.72 and 14,386.42

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Solution

The fourth proportional to 25,564.42, 35,283.72 and 14,386.42 is: 19,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.42 : 35,283.72 = 14,386.42 : x
  2. Step 2: Convert to fraction form
    25,564.42/35,283.72 = 14,386.42/x
  3. Step 3: Cross multiply
    25,564.42x = 35,283.72 × 14,386.42
  4. Step 4: Simplify right side
    25,564.42x = 507,606,415.08
  5. Step 5: Solve for x
    x = 507,606,415.08/25,564.42
  6. Step 6: Final answer
    x = 19,855.97

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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.