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Finding the Fourth Proportional to 25,109.16, 37,663.74 and 9,526.80

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Solution

The fourth proportional to 25,109.16, 37,663.74 and 9,526.80 is: 14,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.16 : 37,663.74 = 9,526.80 : x
  2. Step 2: Convert to fraction form
    25,109.16/37,663.74 = 9,526.80/x
  3. Step 3: Cross multiply
    25,109.16x = 37,663.74 × 9,526.80
  4. Step 4: Simplify right side
    25,109.16x = 358,814,918.23
  5. Step 5: Solve for x
    x = 358,814,918.23/25,109.16
  6. Step 6: Final answer
    x = 14,290.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.