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Finding the Fourth Proportional to 14,307.34, 19,746.52 and 8,342.50

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Solution

The fourth proportional to 14,307.34, 19,746.52 and 8,342.50 is: 11,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.34 : 19,746.52 = 8,342.50 : x
  2. Step 2: Convert to fraction form
    14,307.34/19,746.52 = 8,342.50/x
  3. Step 3: Cross multiply
    14,307.34x = 19,746.52 × 8,342.50
  4. Step 4: Simplify right side
    14,307.34x = 164,735,343.10
  5. Step 5: Solve for x
    x = 164,735,343.10/14,307.34
  6. Step 6: Final answer
    x = 11,514.04

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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.