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Finding the Fourth Proportional to 14,069.98, 19,417.08 and 7,782.40

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Solution

The fourth proportional to 14,069.98, 19,417.08 and 7,782.40 is: 10,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.98 : 19,417.08 = 7,782.40 : x
  2. Step 2: Convert to fraction form
    14,069.98/19,417.08 = 7,782.40/x
  3. Step 3: Cross multiply
    14,069.98x = 19,417.08 × 7,782.40
  4. Step 4: Simplify right side
    14,069.98x = 151,111,483.39
  5. Step 5: Solve for x
    x = 151,111,483.39/14,069.98
  6. Step 6: Final answer
    x = 10,739.99

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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.