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Finding the Fourth Proportional to 24,038.09, 36,051.53 and 6,509.28

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Solution

The fourth proportional to 24,038.09, 36,051.53 and 6,509.28 is: 9,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.09 : 36,051.53 = 6,509.28 : x
  2. Step 2: Convert to fraction form
    24,038.09/36,051.53 = 6,509.28/x
  3. Step 3: Cross multiply
    24,038.09x = 36,051.53 × 6,509.28
  4. Step 4: Simplify right side
    24,038.09x = 234,669,470.65
  5. Step 5: Solve for x
    x = 234,669,470.65/24,038.09
  6. Step 6: Final answer
    x = 9,762.40

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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.