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Finding the Fourth Proportional to 14,311.84, 19,740.36 and 13,830.16

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Solution

The fourth proportional to 14,311.84, 19,740.36 and 13,830.16 is: 19,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.84 : 19,740.36 = 13,830.16 : x
  2. Step 2: Convert to fraction form
    14,311.84/19,740.36 = 13,830.16/x
  3. Step 3: Cross multiply
    14,311.84x = 19,740.36 × 13,830.16
  4. Step 4: Simplify right side
    14,311.84x = 273,012,337.26
  5. Step 5: Solve for x
    x = 273,012,337.26/14,311.84
  6. Step 6: Final answer
    x = 19,075.98

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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.