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Finding the Fourth Proportional to 25,776, 35,570.88 and 14,598.72

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Solution

The fourth proportional to 25,776, 35,570.88 and 14,598.72 is: 20,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,776 : 35,570.88 = 14,598.72 : x
  2. Step 2: Convert to fraction form
    25,776/35,570.88 = 14,598.72/x
  3. Step 3: Cross multiply
    25,776x = 35,570.88 × 14,598.72
  4. Step 4: Simplify right side
    25,776x = 519,289,317.27
  5. Step 5: Solve for x
    x = 519,289,317.27/25,776
  6. Step 6: Final answer
    x = 20,146.23

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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.