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Finding the Fourth Proportional to 24,594.19, 36,897.53 and 7,064.03

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Solution

The fourth proportional to 24,594.19, 36,897.53 and 7,064.03 is: 10,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.19 : 36,897.53 = 7,064.03 : x
  2. Step 2: Convert to fraction form
    24,594.19/36,897.53 = 7,064.03/x
  3. Step 3: Cross multiply
    24,594.19x = 36,897.53 × 7,064.03
  4. Step 4: Simplify right side
    24,594.19x = 260,645,315.77
  5. Step 5: Solve for x
    x = 260,645,315.77/24,594.19
  6. Step 6: Final answer
    x = 10,597.84

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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.