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Finding the Fourth Proportional to 24,366.95, 36,547.38 and 6,838.14

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Solution

The fourth proportional to 24,366.95, 36,547.38 and 6,838.14 is: 10,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366.95 : 36,547.38 = 6,838.14 : x
  2. Step 2: Convert to fraction form
    24,366.95/36,547.38 = 6,838.14/x
  3. Step 3: Cross multiply
    24,366.95x = 36,547.38 × 6,838.14
  4. Step 4: Simplify right side
    24,366.95x = 249,916,101.07
  5. Step 5: Solve for x
    x = 249,916,101.07/24,366.95
  6. Step 6: Final answer
    x = 10,256.36

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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.