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Finding the Fourth Proportional to 12,783.34, 19,178.93 and 6,547.77

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Solution

The fourth proportional to 12,783.34, 19,178.93 and 6,547.77 is: 9,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.34 : 19,178.93 = 6,547.77 : x
  2. Step 2: Convert to fraction form
    12,783.34/19,178.93 = 6,547.77/x
  3. Step 3: Cross multiply
    12,783.34x = 19,178.93 × 6,547.77
  4. Step 4: Simplify right side
    12,783.34x = 125,579,202.02
  5. Step 5: Solve for x
    x = 125,579,202.02/12,783.34
  6. Step 6: Final answer
    x = 9,823.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.