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Finding the Fourth Proportional to 14,347.35, 19,792.51 and 9,569.50

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Solution

The fourth proportional to 14,347.35, 19,792.51 and 9,569.50 is: 13,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.35 : 19,792.51 = 9,569.50 : x
  2. Step 2: Convert to fraction form
    14,347.35/19,792.51 = 9,569.50/x
  3. Step 3: Cross multiply
    14,347.35x = 19,792.51 × 9,569.50
  4. Step 4: Simplify right side
    14,347.35x = 189,404,424.45
  5. Step 5: Solve for x
    x = 189,404,424.45/14,347.35
  6. Step 6: Final answer
    x = 13,201.35

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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.