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Finding the Fourth Proportional to 24,931.40, 34,406.10 and 14,323.16

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Solution

The fourth proportional to 24,931.40, 34,406.10 and 14,323.16 is: 19,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.40 : 34,406.10 = 14,323.16 : x
  2. Step 2: Convert to fraction form
    24,931.40/34,406.10 = 14,323.16/x
  3. Step 3: Cross multiply
    24,931.40x = 34,406.10 × 14,323.16
  4. Step 4: Simplify right side
    24,931.40x = 492,804,075.28
  5. Step 5: Solve for x
    x = 492,804,075.28/24,931.40
  6. Step 6: Final answer
    x = 19,766.40

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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.