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Finding the Fourth Proportional to 24,897.40, 37,347.78 and 10,106.20

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Solution

The fourth proportional to 24,897.40, 37,347.78 and 10,106.20 is: 15,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.40 : 37,347.78 = 10,106.20 : x
  2. Step 2: Convert to fraction form
    24,897.40/37,347.78 = 10,106.20/x
  3. Step 3: Cross multiply
    24,897.40x = 37,347.78 × 10,106.20
  4. Step 4: Simplify right side
    24,897.40x = 377,444,134.24
  5. Step 5: Solve for x
    x = 377,444,134.24/24,897.40
  6. Step 6: Final answer
    x = 15,159.98

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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.