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Finding the Fourth Proportional to 24,095.19, 36,145.23 and 8,298.16

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Solution

The fourth proportional to 24,095.19, 36,145.23 and 8,298.16 is: 12,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.19 : 36,145.23 = 8,298.16 : x
  2. Step 2: Convert to fraction form
    24,095.19/36,145.23 = 8,298.16/x
  3. Step 3: Cross multiply
    24,095.19x = 36,145.23 × 8,298.16
  4. Step 4: Simplify right side
    24,095.19x = 299,938,811.41
  5. Step 5: Solve for x
    x = 299,938,811.41/24,095.19
  6. Step 6: Final answer
    x = 12,448.08

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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.