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Finding the Fourth Proportional to 14,165.49, 19,547.98 and 7,792.07

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Solution

The fourth proportional to 14,165.49, 19,547.98 and 7,792.07 is: 10,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.49 : 19,547.98 = 7,792.07 : x
  2. Step 2: Convert to fraction form
    14,165.49/19,547.98 = 7,792.07/x
  3. Step 3: Cross multiply
    14,165.49x = 19,547.98 × 7,792.07
  4. Step 4: Simplify right side
    14,165.49x = 152,319,292.08
  5. Step 5: Solve for x
    x = 152,319,292.08/14,165.49
  6. Step 6: Final answer
    x = 10,752.84

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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.