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Finding the Fourth Proportional to 14,307.84, 19,734.84 and 13,826.16

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Solution

The fourth proportional to 14,307.84, 19,734.84 and 13,826.16 is: 19,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.84 : 19,734.84 = 13,826.16 : x
  2. Step 2: Convert to fraction form
    14,307.84/19,734.84 = 13,826.16/x
  3. Step 3: Cross multiply
    14,307.84x = 19,734.84 × 13,826.16
  4. Step 4: Simplify right side
    14,307.84x = 272,857,055.41
  5. Step 5: Solve for x
    x = 272,857,055.41/14,307.84
  6. Step 6: Final answer
    x = 19,070.46

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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.