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Finding the Fourth Proportional to 25,509.29, 35,202.59 and 14,178.50

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Solution

The fourth proportional to 25,509.29, 35,202.59 and 14,178.50 is: 19,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.29 : 35,202.59 = 14,178.50 : x
  2. Step 2: Convert to fraction form
    25,509.29/35,202.59 = 14,178.50/x
  3. Step 3: Cross multiply
    25,509.29x = 35,202.59 × 14,178.50
  4. Step 4: Simplify right side
    25,509.29x = 499,119,746.30
  5. Step 5: Solve for x
    x = 499,119,746.30/25,509.29
  6. Step 6: Final answer
    x = 19,566.20

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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.