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Finding the Fourth Proportional to 25,564.50, 35,279.01 and 14,386.74

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Solution

The fourth proportional to 25,564.50, 35,279.01 and 14,386.74 is: 19,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.50 : 35,279.01 = 14,386.74 : x
  2. Step 2: Convert to fraction form
    25,564.50/35,279.01 = 14,386.74/x
  3. Step 3: Cross multiply
    25,564.50x = 35,279.01 × 14,386.74
  4. Step 4: Simplify right side
    25,564.50x = 507,549,944.33
  5. Step 5: Solve for x
    x = 507,549,944.33/25,564.50
  6. Step 6: Final answer
    x = 19,853.70

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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.