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Finding the Fourth Proportional to 24,075.74, 33,210.60 and 14,509.10

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Solution

The fourth proportional to 24,075.74, 33,210.60 and 14,509.10 is: 20,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075.74 : 33,210.60 = 14,509.10 : x
  2. Step 2: Convert to fraction form
    24,075.74/33,210.60 = 14,509.10/x
  3. Step 3: Cross multiply
    24,075.74x = 33,210.60 × 14,509.10
  4. Step 4: Simplify right side
    24,075.74x = 481,855,916.46
  5. Step 5: Solve for x
    x = 481,855,916.46/24,075.74
  6. Step 6: Final answer
    x = 20,014.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.