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Finding the Fourth Proportional to 25,564, 35,278.32 and 14,386.24

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Solution

The fourth proportional to 25,564, 35,278.32 and 14,386.24 is: 19,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564 : 35,278.32 = 14,386.24 : x
  2. Step 2: Convert to fraction form
    25,564/35,278.32 = 14,386.24/x
  3. Step 3: Cross multiply
    25,564x = 35,278.32 × 14,386.24
  4. Step 4: Simplify right side
    25,564x = 507,522,378.32
  5. Step 5: Solve for x
    x = 507,522,378.32/25,564
  6. Step 6: Final answer
    x = 19,853.01

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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.