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Finding the Fourth Proportional to 25,097.47, 37,623.87 and 9,526.03

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Solution

The fourth proportional to 25,097.47, 37,623.87 and 9,526.03 is: 14,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.47 : 37,623.87 = 9,526.03 : x
  2. Step 2: Convert to fraction form
    25,097.47/37,623.87 = 9,526.03/x
  3. Step 3: Cross multiply
    25,097.47x = 37,623.87 × 9,526.03
  4. Step 4: Simplify right side
    25,097.47x = 358,406,114.34
  5. Step 5: Solve for x
    x = 358,406,114.34/25,097.47
  6. Step 6: Final answer
    x = 14,280.57

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Why These Related Problems?

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