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Finding the Fourth Proportional to 14,053.95, 19,378.65 and 9,580.32

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Solution

The fourth proportional to 14,053.95, 19,378.65 and 9,580.32 is: 13,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.95 : 19,378.65 = 9,580.32 : x
  2. Step 2: Convert to fraction form
    14,053.95/19,378.65 = 9,580.32/x
  3. Step 3: Cross multiply
    14,053.95x = 19,378.65 × 9,580.32
  4. Step 4: Simplify right side
    14,053.95x = 185,653,668.17
  5. Step 5: Solve for x
    x = 185,653,668.17/14,053.95
  6. Step 6: Final answer
    x = 13,210.07

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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.