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Finding the Fourth Proportional to 24,368.40, 36,554.90 and 6,838.16

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Solution

The fourth proportional to 24,368.40, 36,554.90 and 6,838.16 is: 10,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,368.40 : 36,554.90 = 6,838.16 : x
  2. Step 2: Convert to fraction form
    24,368.40/36,554.90 = 6,838.16/x
  3. Step 3: Cross multiply
    24,368.40x = 36,554.90 × 6,838.16
  4. Step 4: Simplify right side
    24,368.40x = 249,968,038.02
  5. Step 5: Solve for x
    x = 249,968,038.02/24,368.40
  6. Step 6: Final answer
    x = 10,257.88

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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.